Vertex Operators of the q-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions

Letters in Mathematical Physics

Volumn 41, Issue 1, 1997, Pages 65-78

  Awata, Hidetoshi ^a   Kubo, Harunobu ^b   Morita, Yoshifumi ^b   Odake, Satoru ^c   Shiraishi, Jun'ichi ^d  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY OF TOKYO   (Japan)

^c SHINSHU UNIVERSITY   (Japan)

^d NONE

Author keywords

Four point function; Quantum deformation; RSOS model; Vertex operator; Virasoro algebra

Indexed keywords

EID: 0041076605     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007321109584     Document Type: Article

References (16)

1. Belavin, A. A., Polyakov, A. M. and Zamolodchikov, A. B.: Nuclear Phys. B 241 (1984), 333; Itzykson, C., Saleur, H. and Zuber, J.-B. (eds): Conformal Invariance and Applications in Statistical Mechanics, World Scientific, Singapore, 1988.
2. Belavin, A. A., Polyakov, A. M. and Zamolodchikov, A. B.: Nuclear Phys. B 241 (1984), 333; Itzykson, C., Saleur, H. and Zuber, J.-B. (eds): Conformal Invariance and Applications in Statistical Mechanics, World Scientific, Singapore, 1988.
3. Andrews, G. E., Baxter, R. J. and Forrester, P. J.: Eight-vertex SOS model and generalized Rogers-Ramnujan identities, J. Statist. Phys. 35 (1984), 193-266, Date, E., Jimbo, M., Kuniba, A., Miwa, T. and Okado, M.: Exactly solvable SOS models: Local height probabilities and theta function identities, Nuclear Phys. B 290 (1987), 231-273; Exactly solvable SOS models 2: Proof of the star-triangle relation and combinatorial identities. Adv. Stud. Pure. Math. 16 (1988), 17-122, Jimbo, M.: Yang-Baxter Equation in Integrable Systems World Scientific, Singapore, 1989
4. Andrews, G. E., Baxter, R. J. and Forrester, P. J.: Eight-vertex SOS model and generalized Rogers-Ramnujan identities, J. Statist. Phys. 35 (1984), 193-266, Date, E., Jimbo, M., Kuniba, A., Miwa, T. and Okado, M.: Exactly solvable SOS models: Local height probabilities and theta function identities, Nuclear Phys. B 290 (1987), 231-273; Exactly solvable SOS models 2: Proof of the star-triangle relation and combinatorial identities. Adv. Stud. Pure. Math. 16 (1988), 17-122, Jimbo, M.: Yang-Baxter Equation in Integrable Systems World Scientific, Singapore, 1989
5. Andrews, G. E., Baxter, R. J. and Forrester, P. J.: Eight-vertex SOS model and generalized Rogers-Ramnujan identities, J. Statist. Phys. 35 (1984), 193-266, Date, E., Jimbo, M., Kuniba, A., Miwa, T. and Okado, M.: Exactly solvable SOS models: Local height probabilities and theta function identities, Nuclear Phys. B 290 (1987), 231-273; Exactly solvable SOS models 2: Proof of the star-triangle relation and combinatorial identities. Adv. Stud. Pure. Math. 16 (1988), 17-122, Jimbo, M.: Yang-Baxter Equation in Integrable Systems World Scientific, Singapore, 1989
6. Andrews, G. E., Baxter, R. J. and Forrester, P. J.: Eight-vertex SOS model and generalized Rogers-Ramnujan identities, J. Statist. Phys. 35 (1984), 193-266, Date, E., Jimbo, M., Kuniba, A., Miwa, T. and Okado, M.: Exactly solvable SOS models: Local height probabilities and theta function identities, Nuclear Phys. B 290 (1987), 231-273; Exactly solvable SOS models 2: Proof of the star-triangle relation and combinatorial identities. Adv. Stud. Pure. Math. 16 (1988), 17-122, Jimbo, M.: Yang-Baxter Equation in Integrable Systems World Scientific, Singapore, 1989
7. Lukyanov, S. and Pugai, Y.: Bosonization of ZF algebras: Direction toward deformed Virasoro algebra, hepth/9412128.
8. Shiraishi, J., Kubo, H., Awata, H. and Odake, S.: A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions, Lett. Math. Phys. 38 (1996), 33-51.
9. N algebras and Macdonald polynomials, Comm. Math. Phys. 179 (1996), 401-416.
10. Feigin, B. and Frenkel, B.: Quantum W-algebras and elliptic algebras, Comm. Math. Phys. 178 (1996), 653-678.
11. Lukyanov, S.: A note on the deformed Virasoro algebra, Phys. Lett. B 367 (1996), 121-125.
12. Lukyanov, S. and Pugai, Y.: Multi-point local height probabilities in the integrable RSOS Model, Nuclear Phys. B 473 (1996), 631-658.
13. Kadeishvili, A. A.: Vertex operators for deformed Virasoro algebra, hepth/9604153.
14. n-1 face model, hep-th/9606095.
15. Gasper, G. and Rahman, M.: Basic Hypergeometric Series, Cambridge University Press, 1990.
16. Felder, G.: BRST approach to minimal models, Nuclear Phys. B 317 (1989), 215.