Unitary representations of SW(3/2,2) superconformal algebra

Nuclear Physics B

Volumn 610, Issue 3, 2001, Pages 545-577

  Gepner, Doron ^a   Noyvert, Boris ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

11.25.Hf

Indexed keywords

EID: 0000496513     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(01)00299-1     Document Type: Article

References (30)

1. Zamolodchikov A.B. Infinite additional symmetries in two-dimensional conformal quantum field theory. Theor. Math. Phys. 65:1985;1205.
2. Bouwknegt P., Schoutens K. W symmetry in conformal field theory. Phys. Rep. 223:1993;183 hep-th/9210010.
3. Fateev V.A., Zamolodchikov A.B. Conformal quantum field theory models in two dimensions having Z (3) symmetry. Nucl. Phys. B. 280:1987;644.
4. Fateev V.A., Lukyakhov S.L. The models of two-dimensional conformal quantum field theory with Z(N) symmetry. Int. J. Mod. Phys. A. 3:1988;507.
5. Lukyanov S.L., Fateev V.A. Physics Reviews: Additional Symmetries and Exactly Soluble Models in Two-Dimensional Conformal Field Theory. 1990;Harwood, Chur. p. 117, Soviet Scientific Reviews A, Physics: 15.2.
6. Belavin A.A., Polyakov A.M., Zamolodchikov A.B. Infinite conformal symmetry in two-dimensional quantum field theory. Nucl. Phys. B. 241:1984;333.
7. Figueroa-O'Farrill J.M., Schrans S. The conformal bootstrap and super W algebras. Int. J. Mod. Phys. A. 7:1992;591.
8. Figueroa-O'Farrill J.M., Schrans S. Extended superconformal algebras. Phys. Lett. B. 257:1991;69.
9. Shatashvili S.L., Vafa C. Superstrings and manifold of exceptional holonomy. hep-th/9407025.
10. Shatashvili S.L., Vafa C. Exceptional magic. Nucl. Phys. Proc. Suppl. 41:1995;345.
11. Blumenhagen R. Covariant construction of N=1 super W algebras. Nucl. Phys. B. 381:1992;641.
12. Romans L.J. The N=2 super W(3) algebra. Nucl. Phys. B. 369:1992;403.
13. Thielemans K. A Mathematica package for computing operator product expansions. Int. J. Mod. Phys. C. 2:1991;787.
14. Figueroa-O'Farrill J.M. A note on the extended superconformal algebras associated with manifolds of exceptional holonomy. Phys. Lett. B. 392:1997;77 hep-th/9609113.
15. Friedan D., Qiu Z., Shenker S. Conformal invariance, unitarity and two-dimensional critical exponents. Phys. Rev. Lett. 52:1984;1575. in C83-11-10.1.
16. Friedan D., Shenker S., Qiu Z. Details of the nonunitarity proof for highest weight representations of the Virasoro algebra. Commun. Math. Phys. 107:1986;535.
17. Fradkin E.S., Linetsky V.Y. Results of the classification of superconformal algebras in two dimensions. Phys. Lett. B. 282:1992;352 hep-th/9203045.
18. Fradkin E.S., Linetsky V.Y. Classification of superconformal and quasisuperconformal algebras in two dimensions. Phys. Lett. B. 291:1992;71 hep-th/9207035.
19. P. Ginsparg, Applied conformal field theory, HUTP-88-A054, Lectures given at Les Houches Summer School in Theoretical Physics, Les Houches, France, June 28-August 5, 1988.
20. Komata S., Mohri K., Nohara H. Classical and quantum extended superconformal algebra. Nucl. Phys. B. 359:1991;168.
21. Mallwitz S. On SW minimal models and N=1 supersymmetric quantum Toda field theories. Int. J. Mod. Phys. A. 10:1995;977 hep-th/9405025.
22. Feigin B.L., Fuks D.B. Invariant skew symmetric differential operators on the line and Verma modules over the Virasoro algebra. Funct. Anal. Appl. 16:1982;114.
23. Bershadsky M.A., Knizhnik V.G., Teitelman M.G. Superconformal symmetry in two dimensions. Phys. Lett. B. 151:1985;31.
24. Mussardo G., Sotkov G., Stanishkov M. Ramond sector of the supersymmetric minimal models. Phys. Lett. B. 195:1987;397.
25. Mussardo G., Sotkov G., Stanishkov M. N=2 superconformal minimal models. Int. J. Mod. Phys. A. 4:1989;1135.
26. Dotsenko V.S., Fateev V.A. Conformal algebra and multipoint correlation functions in 2D statistical models. Nucl. Phys. B. 240:1984;312.
27. Schwimmer A., Seiberg N. Comments on the N=2 , N=3 , N=4 superconformal algebras in two dimensions. Phys. Lett. B. 184:1987;191.
28. Goddard P., Schwimmer A. Factoring out free fermions and superconformal algebras. Phys. Lett. B. 214:1988;209.
29. Kazama Y., Suzuki H. New N=2 superconformal field theories and superstring compactification. Nucl. Phys. B. 321:1989;232.
30. Kazama Y., Suzuki H. Characterization of N=2 superconformal models generated by coset space method. Phys. Lett. B. 216:1989;112.