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Berezin quantization of gauged WZW and coset models |
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| Authors: | I. Carrillo-Ibarra H. García-Compeán W. Herrera-Suárez |
| Affiliation: | (1) Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzados del IPN, Av. IPN 2580, Col. Laguna Ticomán, CP. 07340 México D.F., México;(2) Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados del IPN, P.O. Box 14-740, 07000 México D.F., México;(3) Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, P.O. Box 14-740, 07000 México D.F., México |
| Abstract: | Gauged WZW and coset models are known to be useful to prove holomorphic factorization of the partition function of WZW and coset models. In this note we show that these gauged models can be also important to quantize the theory in the context of the Berezin formalism. For gauged coset models Berezin quantization procedure also admits a further holomorphic factorization in the complex structure of the moduli space.This work is dedicated to Professor Michel Ryan on the occasion of his 60th birthday. |
| Keywords: | Wess-Zumino-Witten model Two dimensional conformal field theories Canonical quantization Feynman path integral |
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