The action of outer automorphisms on bundles of chiral blocks

Communications in Mathematical Physics

Volumn 206, Issue 3, 1999, Pages 691-736

  Fuchs, Jürgen ^a,c   Schweigert, Christoph ^b,c  

^a MAX PLANCK INSTITUT FÜR MATHEMATIK   (Germany)

^b CERN   (Switzerland)

^c ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033517396     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050841     Document Type: Article

References (32)

1. 1. Felder, G., Fröhlich, J. and Keller, G.: On the structure of unitary conformal field theory. I. Existence of conformal blocks. Commun.Math.Phys. 124, 417 (1989)
2. 2. Fuchs, J. and Schweigert, C.: Branes: from free fields to general backgrounds. Nucl. Phys. B 530, 99 (1998)
3. 3. Witten, E.: Quantum field theory and the Jones polynomial. Commun. Math. Phys. 121, 351 (1989)
4. 4. Beauville, A.: Vector bundles on curves and generalized theta functions: Recent results and open problems, In: Current Topics in Complex Algebraic Geometry, H. Clemens et al., eds., Cambridge: Cambridge University Press, 1995, p. 17
5. 5. Tsuchiya, A., Ueno, K., and Yamada, H.: Conformal field theory on universal family of stable curves with gauge symmetries. Adv. Studies in Pure Math. 19, 459 (1989)
6. 6. Ueno, K.: Introduction to conformal field theory with gauge symmetries, In: Physics and Geometry, J.E. Andersen, H. Pedersen, and A. Swann, eds., New York: Marcel Dekker, 1997, p. 603
7. 7. Felder, G., Gawȩdzki, K. and Kupiainen, A.: Spectra of Wess-Zumino-Witten models with arbitrary simple groups. Commun. Math. Phys. 117, 127 (1988)
8. 8. Fuchs, J., Schellekens, A.N. and Schweigen, C.: A matrix S for all simple current extensions. Nucl. Phys. B 473, 323 (1996)
9. 9. Gawȩdzki, K. and Kupiainen, A.: Coset construction from functional integrals. Nucl. Phys. B 320, 625 (1989)
10. 10. Karabali, D. and Schnitzer, H.J.: BRST quantization of the gauged WZW action and coset conformal field theories. Nucl. Phys. B 329, 649 (1990)
11. 11. Hori, K.: Global aspects of gauged Wess-Zumino-Witten models. Commun. Math. Phys. 182, 1 (1996)
12. 12. Fuchs, J., Schellekens, A.N. and Schweigert, C.: The resolution of field identification fixed points in diagonal coset theories. Nucl. Phys. B 461, 371 (1996)
13. 13. Beauville, A.: Conformal blocks, fusion rules and the Verlinde formula, In: Hirzebruch 65 Conference on Algebraic Geometry. [Israel Math.Conf.Proc. 9], M. Teicher, ed., Ramat Gan: Bar-Ilan University, 1996, p. 75
14. 14. Schellekens, A.N. and Yankielowicz, S.: Simple currents, modular invariants, and fixed points. Int. J. Mod. Phys. A 5, 2903 (1990)
15. 15. Fuchs, J., and Schweigert, C.: A classifying algebra for boundary conditions. Phys. Lett. B 414, 251 (1997)
16. 16. Recknagel, A. and Schomerus, V: D-branes in Gepner models. Nucl. Phys. B 531, 185 (1998)
17. 17. Beauville, A.: The Verlinde formula for PGL(p), In: The Mathematical Beauty of Physics, J.M. Drouffe and J.-B. Zuber, eds., Singapore: World Scientific, 1997, p. 141
18. 18. Freericks, J.K. and Halpern, M.B.: Conformal deformation by the currents of affine g. Ann. Phys. 188, 258 (1988) [ibid. 190 (1989) 212, Erratum]
19. 19. Gorman, N., O'Raifeartaigh, L. and McGlinn, W.: Cartan preserving automorphisms of untwisted and twisted Kac-Moody algebras. J. Math. Phys. 30, 1921 (1989)
20. 20. Lerche, W., Vafa, C. and Warner, N.P.: Chiral rings in N = 2 superconformal theories. Nucl. Phys. B 324, 427 (1989)
21. 21. Peterson, D.H. and Kac, V.G.: Infinite flag varieties and conjugacy theorems. Proc. Natl. Acad. Sci. USA 80, 1778 (1983)
22. 22. Fuchs, J., Schellekens, A.N. and Schweigert, C.: From Dynkin diagram symmetries to fixed point structures. Commun. Math. Phys. 180, 39 (1996)
23. 23. Schellekens, A.N. and Yankielowicz, S.: Extended chiral algebras and modular invariant partition functions. Nucl. Phys. B 327, 673 (1989)
24. 24. Intriligator, K.: Bonus symmetry in conformal field theory. Nucl. Phys. B 332, 541 (1990)
25. 25. Karpilovsky, G.: Induced Modules Over Group Algebras. Amsterdam: North Holland Publishing Company, 1990
26. 26. Brown, K.S.: Cohomology of Groups. Berlin: Springer Verlag, 1982
27. 27. Kohno, T.: Monodromy representations of braid groups and Yang-Baxter equations. Ann. Inst. Fourier 37, 139 (1987)
28. 28. Feigin, B.L., Schechtman, V.V. and Varchenko, A.N.: On algebraic equations satisfied by correlators in Wess-Zumino-Witten models. Lett. Math. Phys. 20, 291 (1990)
29. 29. Mathieu, O.: Équations de Knizhnik-Zamolodchikov et théorie des représentations. Astérisque 227, 47 (1995)
30. 30. Kac, V.G. and Peterson, D.H.: Infinite-dimensional Lie algebras, theta functions and modular forms. Adv. Math. 53, 125 (1984)
31. 31. Fuchs, J., Ray, U. and Schweigert, C.: Some automorphisms of Generalized Kac-Moody algebras. J. Algebra 191, 518 (1997)
32. 32. Blau, M. and Thompson, G.: Derivation of the Verlinde formula from Chern-Simons theory and the G/G model. Nucl. Phys. B 408, 345 (1993)