The mini-superspace limit of the SL(2, ℂ)/SU(2)-WZNW model

Nuclear Physics B

Volumn 546, Issue 1-2, 1999, Pages 369-389

  Teschner, J ^a  

^a UNIVERSITÉ MONTPELLIER II   (France)

Author keywords

Bootstrap; Conformal field theory; Non compact target spaces; WZNW models

Indexed keywords

EID: 0033606037     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00071-1     Document Type: Article

References (17)

1. N. Seiberg, Notes on quantum Liouville theory and quantum gravity, Prog. Theor. Phys. Suppl. 102(1990) 319.
2. J. Polchinski, Remarks on Liouville field theory, in Proc. of Strings '90 Conference at College Station, ed. R. Arnowitt et al. (World Scientific, Singapore, 1991).
3. C. Gawedzki, Non-compact WZW conformai field theories, in Proc. of NATO ASI Cargèse 1991, ed. J. Frölich, G. 't Hooft, A. Jaffe, G. Mack, P.K. Mitter and R. Stora (Plenum, New York, 1992) pp. 247-274.
4. R. Dijkgraaf, H. Verlinde and E. Verlinde, String propagation in a black hole geometry, Nucl. Phys. B 371 (1992) 269.
5. G. Moore, N. Seiberg and M. Staudacher, From loops to states in two-dimensional quantum gravity, Nucl. Phys. B 362 (1991) 665.
6. J. Teschner, On Structure Constants and Fusion Rules in the SL(2, ℂ)/SU(2) WZNW Model, hep-th/9712256.
7. J. Teschner, On the Conformai Blocks in SL(2, ℝ) and SL(2, ℂ)/Su(2) WZNW Models, to appear.
8. J. Teschner, On the Liouville three-point function, Phys. Lett. B 363 (1995) 65.
9. A.B. Zamolodchikov and Al.B. Zamolodchikov, Conformal bootstrap in Liouville field theory, Nucl. Phys. B 477 (1996) 577.
10. A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Infinite conformai symmetry in 2D quantum field theory, Nucl. Phys. B 241 (1984) 333.
11. I.M. Gelfand, M.I. Graev and N.Ya. Vilenkin, Generalized Functions, Vol. 5 (Academic Press, New York, 1966).
12. M.A. Naimark, Decomposition of a tensor product of irreducible representations of the proper Lorentz group into irreducible representations, Commun. (Trudy) Moscow Math. Soc. 8, 121 (1959) (in Russian), English translation: Am. Math. Soc. Transi. Ser. 2, Vol. 36, pp. 101-229.
13. M.A. Naimark, Decomposition of a tensor product of irreducible representations of the proper Lorentz group into irreducible representations, Commun. (Trudy) Moscow Math. Soc. 8, 121 (1959) (in Russian), English translation: Am. Math. Soc. Transi. Ser. 2, Vol. 36, pp. 101-229.
14. N.I. Akhiezer and I.M. Glazman, Theory of linear operators in Hubert Space II, Monographs and Studies in Mathematics, Vol. 10 (Pitman Adv. Publ. Program, Boston, XXXII, 1981).
15. K. Yosida, Functional Analysis (Springer, Berlin, 1965).
16. A. Erde'lyi, ed., Higher Transcendental Functions, Vol. 1 (McGraw-Hill, New York, 1953).
17. D. Basu and S.D. Majumdar, The master analytic function and the Lorentz group I, J. Math. Phys. 17 (1976) 185.