Loops versus matrices: The nonperturbative aspects of nuncritical string

Progress of Theoretical Physics

Volumn 112, Issue 1, 2004, Pages 131-181

  Hanada, Masanori ^a   Hayakawa, Masashi ^b   Ishibashi, Nobuyuki ^c   Kawai, Hikaru ^a,b   Kuroki, Tsunehide ^b   Matsuo, Yoshinori ^a   Tada, Tsukasa ^b  

^a KYOTO UNIVERSITY   (Japan)

^b RIKEN   (Japan)

^c UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 6044253618     PISSN: 0033068X     EISSN: None     Source Type: Journal    
DOI: 10.1143/PTP.112.131     Document Type: Article

References (42)

1. S. H. Shenker, "The strength of nonperturbative effects in string theory", in Random Surfaces, Quantum Gravity and Strings, ed. O. Alvarez, E. Marinari and P. Windey (Plenum, New York, 1991).
2. J. Polchinski, Phys. Rev. D 50 (1994), 6041; hep-th/9407031.
3. E. Brezin and V. A. Kazakov, Phys. Lett. B 236 (1990), 144. M. R. Douglas and S. H. Shenker, Nucl. Phys. B 335 (1990), 635. D. J. Gross and A. A. Migdal, Phys. Rev. Lett. 64 (1990), 127; Nucl. Phys. B 340 (1990), 333.
4. E. Brezin and V. A. Kazakov, Phys. Lett. B 236 (1990), 144. M. R. Douglas and S. H. Shenker, Nucl. Phys. B 335 (1990), 635. D. J. Gross and A. A. Migdal, Phys. Rev. Lett. 64 (1990), 127; Nucl. Phys. B 340 (1990), 333.
5. E. Brezin and V. A. Kazakov, Phys. Lett. B 236 (1990), 144. M. R. Douglas and S. H. Shenker, Nucl. Phys. B 335 (1990), 635. D. J. Gross and A. A. Migdal, Phys. Rev. Lett. 64 (1990), 127; Nucl. Phys. B 340 (1990), 333.
6. E. Brezin and V. A. Kazakov, Phys. Lett. B 236 (1990), 144. M. R. Douglas and S. H. Shenker, Nucl. Phys. B 335 (1990), 635. D. J. Gross and A. A. Migdal, Phys. Rev. Lett. 64 (1990), 127; Nucl. Phys. B 340 (1990), 333.
7. For comprehensive reviews see: P. Ginsparg and G. W. Moore, hep-th/9304011. P. Di Francesco, P. Ginsparg and J. Zinn-Justin, Phys. Rep. 254 (1995), 1; hep-th/9306153. J. Polchinski, hep-th/9411028. I. R. Klebanov, hep-th/9108019.
8. F. David, Nucl. Phys. B 348 (1991), 507; Phys. Lett. B 302 (1993), 403; hep-th/9212106.
9. F. David, Nucl. Phys. B 348 (1991), 507; Phys. Lett. B 302 (1993), 403; hep-th/9212106.
10. B. Eynard and J. Zinn-Justin, Phys. Lett. B 302 (1993), 396; hep-th/9301004.
11. V. Fateev, A. B. Zamolodchikov and A. B. Zamolodchikov, hep-th/0001012.
12. A. B. Zamolodchikov and A. B. Zamolodchikov, hep-th/0101152.
13. J. Teschner, hep-th/0009138. B. Ponsot and J. Teschner, Nucl. Phys. B 622 (2002), 309; hep-th/0110244.
14. J. McGreevy and H. Verlinde, hep-th/0304224.
15. E. J. Martinec, hep-th/0305148.
16. J. McGreevy, J. Teschner and H. Verlinde, hep-th/0305194.
17. I. R. Klebanov, J. Maldacena and N. Seiberg, J. High Energy Phys. 07 (2003), 045; hep-th/0305159.
18. S. Y. Alexandrov, V. A. Kazakov and D. Kutasov, J. High Energy Phys. 09 (2003), 057; hep-th/0306177.
19. J. Ambjorn, J. Jurkiewicz and Y. M. Makeenko, Phys. Lett. B 251 (1990), 517.
20. Z. Yang, Phys. Lett. B 257 (1991), 40.
21. J. A. Minahan, Int. J. Mod. Phys. A 8 (1993), 3599; hep-th/9204013.
22. V. A. Kazakov and I. K. Kostov, Nucl. Phys. B 386 (1992), 520; hep-th/9205059.
23. B. Eynard, hep-th/9401165.
24. E. Brezin and A. Zee, Nucl. Phys. B 402 (1993), 613.
25. B. Eynard, Nucl. Phys. B 506 (1997), 633.
26. M. Fukuma, H. Kawai and R. Nakayama, Int. J. Mod. Phys. A 6 (1991), 1385. R. Dijkgraaf, H. Verlinde and E. Verlinde, Nucl. Phys. B 348 (1991), 435.
27. M. Fukuma, H. Kawai and R. Nakayama, Int. J. Mod. Phys. A 6 (1991), 1385. R. Dijkgraaf, H. Verlinde and E. Verlinde, Nucl. Phys. B 348 (1991), 435.
28. N. Ishibashi and H. Kawai, Phys. Lett. B 314 (1993), 190; hep-th/9307045.
29. N. Ishibashi and H. Kawai, hep-th/9606123.
30. A. Jevicki and J. P. Rodrigues, Nucl. Phys. B 421 (1994), 278; hep-th/9312118.
31. M. Fukuma and S. Yahikozawa, Phys. Lett. B 396 (1997), 97; hep-th/9609210; Phys. Lett. B 393 (1997), 316; hep-th/9610199.
32. M. Fukuma and S. Yahikozawa, Phys. Lett. B 396 (1997), 97; hep-th/9609210; Phys. Lett. B 393 (1997), 316; hep-th/9610199.
33. V. G. Knizhnik, A. M. Polyakov and A. B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988), 819. F. David, Mod. Phys. Lett. A 3 (1988), 1651. J. Distler and H. Kawai, Nucl. Phys. B 321 (1989), 509.
34. V. G. Knizhnik, A. M. Polyakov and A. B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988), 819. F. David, Mod. Phys. Lett. A 3 (1988), 1651. J. Distler and H. Kawai, Nucl. Phys. B 321 (1989), 509.
35. V. G. Knizhnik, A. M. Polyakov and A. B. Zamolodchikov, Mod. Phys. Lett. A 3 (1988), 819. F. David, Mod. Phys. Lett. A 3 (1988), 1651. J. Distler and H. Kawai, Nucl. Phys. B 321 (1989), 509.
36. I. R. Klebanov, J. Maldacena and N. Seiberg, hep-th/0309168.
37. N. Seiberg and D. Shih, J. High Energy Phys. 02 (2004), 021; hep-th/0312170.
38. T. Mogami, Phys. Lett. B 351 (1995), 439; hep-th/9412212.
39. I. K. Rostov, Phys. Lett. B 349 (1995), 284; hep-th/9501135.
40. J. Avan and A. Jevicki, Nucl. Phys. B 469 (1996), 287; hep-th/9512147.
41. N. Nakazawa and D. Ennyu, Phys. Lett. B 417 (1998), 247; hep-th/9708033.
42. M. R. Douglas, I. R. Klebanov, D. Kutasov, J. Maldacena, E. Martinec and N. Seiberg, hep-th/0307195.