W1+∞ algebra, W3 algebra, and Friedan-Martinec-Shenker bosonization

Communications in Mathematical Physics

Volumn 195, Issue 1, 1998, Pages 95-111

  Wang, Weiqiang ^a  

^a MAX PLANCK INSTITUT FÜR MATHEMATIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009257455     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050381     Document Type: Article

References (34)

1. 1+∞ algebra. Commun. Math. Phys. 172, 377-400 (1995)
2. Bakas, I.: The large-N limit of extended conformal symmetries. Phys. Lett. B228, 57-63 (1989)
3. ∞ parafermions. Nuc. Phys. B343, 185-204 (1990)
4. Borcherds, R.: Vertex algebras, Kac-Moody algebras, and the Monster. Proc. Natl. Acad. Sci, USA 83, 3068-3071 (1986)
5. Bouwknegt, P., Ceresole, A., van Nieuwenhuizen, P. and McCarthy, J.: Extended Sugawara construction for the superalgebras SU(M + 1 | N + 1 ).II. The third-order Casimir algebra. Phys. Rev. D 40, 415-421 (1989)
6. 3 algebra: Modules, semi-infinite cohomology and BV-algebras. hep-th/9509119
7. Bouwknegt, P. and Schoutens, K.: W-symmetry in conformal field theory. Phys. Rep. 223, 183-276 (1993)
8. Dijkgraaf, R.: Mirror symmetry and elliptic curves. In: The moduli space of curves R. Dijkgraaf : et al (eds.), Prog. Math. 129, Boston: Birkhauser, 1995
9. Dong, C. and Lepowsky, J.: Generalized vertex algebras and relative vertex operators. Prog. Math. 112, Boston: Birkhauser, 1993
10. Feigin, B. and Frenkel, E.: Semi-infinite Weil complex and the Virasoro algebra. Commun. Math. Phys. 137, 617-639 (1991); Erratum: Commun. Math. Phys. 147, 647-8 (1992)
11. Feingold, A. and Frenkel, I.: Classical affine algebras. Adv. Math. 56, 117-172 (1985)
12. Flohr, M.: On modular invariant partition functions of conformal field theories with logarithmic operators, hep-th/9509166
13. N ) with central charge N. Commun. Math. Phys. 170, 337-357 (1995)
14. Frenkel, I.: Two constructions of affine Lie algebras and boson-fermion correspondence in quantum field theory. J. Funct. Anal. 44, 259-327 (1981)
15. Frenkel, I.: Representations of Kac-Moody algebras and dual resonance models. In: Applications of Group Theory in Physics and Mathematical Physics, eds. M. Flato, P. Sally, G. Zuckerman, Lect. Applied Math, AMS, 21, 325-353 (1985)
16. Frenkel, I., Lepowsky, J. and Meurman, A.: Vertex operator algebras and the Monster. New York: Academic Press, 1988
17. Friedan, D., Martinec, E. and Shenker, S.: Conformal invariance, supersymmetry and string theory. Nucl. Phys. B 271, 93-165 (1986)
18. Gaberdiel, M. and Kausch, H.: A rational logarithmic conformal field theory, hep-th/9606050
19. Kac, V.: Infinite dimensional Lie algebras. Third edition, Cambridge: Cambridge University Press, 1990
20. Kac, V.: Vertex algebras for beginners. Univ. Lect. Series, 10, Providence, RI: AMS, 1996
21. Kac, V. and van de Leur, W.: Super boson-fermion correspondence. Ann. Inst. Fourier 37, 99-137 (1987)
22. Kac, V. and van de Leur, W.: Super boson-fermion correspondence of type B. In: Infinite-dimensional Lie algebras and groups, V. Kac (ed.), Singapore, World Scientific: 1989, pp. 369-416
23. Kac, V. and Radul, A.: Quasi-finite highest weight modules over the Lie algebra of differential operators on the circle. Commun. Math. Phys. 157, 429-457 (1993)
24. 1+∞. Transf. Groups, Vol. 1, 41-70 (1996)
25. Kaneko, M. and Zagier, D.: A Generalized Jacobi theta function and quasimodular forms. In: The moduli space of curves, R. Dijkgraaf et al. (eds.), Prog. Math. 129, Boston. Birkhauser, 1995
26. Kausch, H.: Curiosity at c = - 2. hep-th/9510149
27. Lian, B. and Zuckerman, G.: BRST cohomology of the super-Virasoro algebras. Commun. Math. Phys. 1253 301-335 (1989)
28. Lian, and Zuckerman, G.: Commutative quantum operator algebras. J. Pure Appl. Alg. 100, 117-139 (1995)
29. 1+∞. Phys. Lett. B 326, 95-100 (1994)
30. Odake, S.: Unitary representations of W infinity algebras. Inter. J. Mod. Phys. A7, 6339-6355 (1992)
31. Pope, C., Romans, L. and Shen, X.: A new higher-spin algebra and the lone-star product. Phys. Lett. B 242, 401-406 (1990)
32. 1+∞. Preprint, q-alg/9709034
33. 3 algebra with central charge -2. q-alg/9708016, to appear in Commun. Math. Phys
34. Zamolodchikov, A.B.: : Infinite additional symmetries in two dimensional conformal quantum field theory. Theor. Math. Phys. 65, 1205-1213 (1985)