String theory on AdS3 and symmetric products

Fortschritte der Physik

Volumn 49, Issue 4-6, 2001, Pages 409-418

  Argurio, R ^a   Giveon, A ^b   Shomer, A ^b  

^a UNIVERSITY OF MILANO BICOCCA   (Italy)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035605638     PISSN: 00158208     EISSN: None     Source Type: Journal    
DOI: 10.1002/1521-3978(200105)49:4/6<409::AID-PROP409>3.3.CO;2-9     Document Type: Article

References (58)

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13. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
14. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
15. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
16. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
17. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
18. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
19. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
20. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
21. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
22. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
23. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
24. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
25. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
26. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
27. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
28. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
29. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
30. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
31. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
32. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
33. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
34. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
35. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
36. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
37. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
38. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
39. A. B. ZAMOLODCHIKOV and V. A. FATEEV, Sov. J. Nucl. Phys. 43 (1986) 657; J. BALOG, L. O'RAIFEARTAIGH, P. FORGACS, and A. WIPF, Nucl. Phys. B325 (1989) 225; L. J. DIXON, M. E. PESKIN and J. LYKKEN, Nucl. Phys. B325 (1989) 329; A. ALEKSEEV and S. SHATASHVILI, Nucl. Phys. B323 (1989) 719; N. MOHAMEDDI, Int. J. Mod. Phys. A5 (1990) 3201; P. M. S. PETROPOULOS, Phys. Lett. B236 (1990) 151; M. HENNINGSON and S. HWANG, Phys. Lett. B258 (1991) 341; M. HENNINGSON, S. HWANG, P. ROBERTS, and B. SUNDBORG, Phys. Lett. B267 (1991) 350; S. HWANG, Phys. Lett. B276 (1992) 451, hep-th/9110039; I. BARS and D. NEMESCHANSKY, Nucl. Phys. B348 (1991) 89; S. HWANG, Nucl. Phys. B354 (1991) 100; K. GAWEDZKI, hep-th/9110076; I. BARS, Phys. Rev. D53 (1996) 3308, hep-th/9503205; in Future Perspectives In String Theory (Los Angeles, 1995), hep-th/9511187; Y. SATOH, Nucl. Phys. B513 (1998) 213, hep-th/9705208; J. TESCHNER, Nucl. Phys. B546 (1999) 390, hep-th/9712256, Nucl. Phys. B546 (1999) 369, hepth/9712258, Nucl.Phys. B571 (2000) 555, hep-th/9906215; J. M. EVANS, M. R. GABERDIEL, and M. J. PERRY, Nucl. Phys. B535 (1998) 152, hep-th/9806024; J. DE BOER, H. OOGURI, H. ROBINS, and J. TANNENHAUSER, JHEP 9812 (1998) 026, hep-th/9812046; K. HOSOMICHI and Y. SUGAWARA, JHEP 9901 (1999) 013, hep-th/9812100, JHEP 9907 (1999) 027, hep-th/9905004; M. Yu and B. ZHANG, Nucl. Phys. B551 (1999) 425, hep-th/9812216; N. BERKOVITS, C. VAFA and E. WITTEN, JHEP 9903 (1999) 018, hep-th/9902098; I. BARS, C. DELIDUMAN, and D. MINIC, hepth/9907087; P. M. PETROPOULOS, hep-th/9908189; G. GIRIBET and C. NUNEZ, JHEP 9911 (1999) 031, hep-th/9909149; A. KATO and Y. SATOH, Phys. Lett. B486 (2000) 306, hep-th/0001063; N. ISHIBASHI, K. OKUYAMA, and Y. SATOH, Nucl. Phys. B588 (2000) 149, hep-th/0005152; Y. HIKIDA, K. HOSOMICHI, and Y. SUGAWARA, hep-th/0005065.
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