Two-toroidal Lie algebra as current algebra of the four-dimensional Kähler WZW model

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 399, Issue 1-2, 1997, Pages 97-104

  Inami, Takeo ^a   Kanno, Hiroaki ^b   Ueno, Tatsuya ^a   Xiong, Chuan Sheng ^a  

^a KYOTO UNIVERSITY   (Japan)

^b HIROSHIMA UNIVERSITY   (Japan)

Author keywords

4D extension of the 2D WZW model; Infinite dimensional symmetry; Sugawara like construction; Two toroidal current algebra

Indexed keywords

EID: 0002192599     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(97)00260-8     Document Type: Article

References (28)

1. A.M. Polyakov, Nucl. Phys. B 164 (1979) 171; J.L. Cardy, Nucl. Phys. B 366 (1991) 403.
2. A.M. Polyakov, Nucl. Phys. B 164 (1979) 171; J.L. Cardy, Nucl. Phys. B 366 (1991) 403.
3. V.P. Nair and J. Schiff, Phys. Lett. B 246 (1990) 423; Nucl. Phys. B 371 (1992) 329.
4. V.P. Nair and J. Schiff, Phys. Lett. B 246 (1990) 423; Nucl. Phys. B 371 (1992) 329.
5. A. Losev, G. Moore, N. Nekrasov and S. Shatashvili, Nucl. Phys. B (Proc. Suppl.) 46 (1996) 130.
6. S. Donaldson, Proc. Lond. Math. Soc. 50 (1985) 1.
7. K. Pohlmayer, Commun. Math. Phys. 72 (1980) 37.
8. S.V. Ketov, Phys. Lett. B 383 (1996) 390.
9. H. Ooguri and C. Vafa, Nucl. Phys. B 361 (1991) 469; Nucl. Phys. B 367 (1991) 83.
10. H. Ooguri and C. Vafa, Nucl. Phys. B 361 (1991) 469; Nucl. Phys. B 367 (1991) 83.
11. G. Chalmers and W. Siegel, The self-dual sector of QCD amplitudes, hep-th/9606061; D. Cangemi, Self-dual Yang-Mills Theory and One-Loop Like-Helicity QCD Multi-gluon Amplitudes, hep-th/9605208.
12. G. Chalmers and W. Siegel, The self-dual sector of QCD amplitudes, hep-th/9606061; D. Cangemi, Self-dual Yang-Mills Theory and One-Loop Like-Helicity QCD Multi-gluon Amplitudes, hep-th/9605208.
13. C.N. Yang, Phys. Rev. Lett. 38 (1977) 1377.
14. L-L. Chau, M-L. Ge and Y-S. Wu, Phys. Rev. D 25 (1982) 1086; L. Dolan, Phys. Lett. B 113 (1982) 387; L-L. Chau, Y-S. Wu, Phys. Rev. D 26 (1982) 3581; L-L. Chau, M-L. Ge, A. Sinha and Y-S. Wu, Phys. Lett. B 121 (1983) 391.
15. L-L. Chau, M-L. Ge and Y-S. Wu, Phys. Rev. D 25 (1982) 1086; L. Dolan, Phys. Lett. B 113 (1982) 387; L-L. Chau, Y-S. Wu, Phys. Rev. D 26 (1982) 3581; L-L. Chau, M-L. Ge, A. Sinha and Y-S. Wu, Phys. Lett. B 121 (1983) 391.
16. L-L. Chau, M-L. Ge and Y-S. Wu, Phys. Rev. D 25 (1982) 1086; L. Dolan, Phys. Lett. B 113 (1982) 387; L-L. Chau, Y-S. Wu, Phys. Rev. D 26 (1982) 3581; L-L. Chau, M-L. Ge, A. Sinha and Y-S. Wu, Phys. Lett. B 121 (1983) 391.
17. L-L. Chau, M-L. Ge and Y-S. Wu, Phys. Rev. D 25 (1982) 1086; L. Dolan, Phys. Lett. B 113 (1982) 387; L-L. Chau, Y-S. Wu, Phys. Rev. D 26 (1982) 3581; L-L. Chau, M-L. Ge, A. Sinha and Y-S. Wu, Phys. Lett. B 121 (1983) 391.
18. E. Witten, Commun. Math. Phys. 92 (1984) 455.
19. R.V. Moody, S. Eswara Rao and T. Yokonuma, Geom. Dedicata 35 (1990) 283; S. Eswara Rao and R.V. Moody, Commun. Math. Phys. 159 (1994) 239; S. Berman and B. Cox, Pacific J. Math. 165 (1994) 239; S. Berman and R.V. Moody, Invent. Math. 108 (1992) 323; I.B. Frenkel and B.A. Khesin, Commun. Math. Phys. 178 (1996) 541.
20. R.V. Moody, S. Eswara Rao and T. Yokonuma, Geom. Dedicata 35 (1990) 283; S. Eswara Rao and R.V. Moody, Commun. Math. Phys. 159 (1994) 239; S. Berman and B. Cox, Pacific J. Math. 165 (1994) 239; S. Berman and R.V. Moody, Invent. Math. 108 (1992) 323; I.B. Frenkel and B.A. Khesin, Commun. Math. Phys. 178 (1996) 541.
21. R.V. Moody, S. Eswara Rao and T. Yokonuma, Geom. Dedicata 35 (1990) 283; S. Eswara Rao and R.V. Moody, Commun. Math. Phys. 159 (1994) 239; S. Berman and B. Cox, Pacific J. Math. 165 (1994) 239; S. Berman and R.V. Moody, Invent. Math. 108 (1992) 323; I.B. Frenkel and B.A. Khesin, Commun. Math. Phys. 178 (1996) 541.
22. R.V. Moody, S. Eswara Rao and T. Yokonuma, Geom. Dedicata 35 (1990) 283; S. Eswara Rao and R.V. Moody, Commun. Math. Phys. 159 (1994) 239; S. Berman and B. Cox, Pacific J. Math. 165 (1994) 239; S. Berman and R.V. Moody, Invent. Math. 108 (1992) 323; I.B. Frenkel and B.A. Khesin, Commun. Math. Phys. 178 (1996) 541.
23. R.V. Moody, S. Eswara Rao and T. Yokonuma, Geom. Dedicata 35 (1990) 283; S. Eswara Rao and R.V. Moody, Commun. Math. Phys. 159 (1994) 239; S. Berman and B. Cox, Pacific J. Math. 165 (1994) 239; S. Berman and R.V. Moody, Invent. Math. 108 (1992) 323; I.B. Frenkel and B.A. Khesin, Commun. Math. Phys. 178 (1996) 541.
24. H. Sugawara, Phys. Rev. 170 (1968) 1659.
25. W.A. Bardeen, Prog. Theor. Phys. Suppl. 123 (1996) 1.
26. V.P. Nair, Phys. Lett. B 214 (1988) 215.
27. A. Losev, G. Moore, N. Nekrasov and S. Shatashvili, Chiral Lagrangians, Anomalies, Supersymmetry, and Holomorphy, hep-th/9606082.
28. J.F. Plebanski, J. Math. Phys. 16 (1975) 2395.