Coulomb gas representation of the SU(2) WZW correlators at higher genera

Letters in Mathematical Physics - Tập 33 - Trang 335-345 - 1995
Krzysztof Gawedzki1
1CNRS, IHES, Bures-sur-Yvette, France

Tóm tắt

We extend a previous analysis to the case with insertion points. The result allows us to express the correlation functions of the SU(2) WZW conformal field theory on Riemann surfaces of genus > 1 by finite-dimensional integrals.

Tài liệu tham khảo

Gawedzki, K., SU(2) WZW theory at higher genera, IHES preprint, hep-th 9402091. Gawedzki, K., Quadrature of conformal field theories,Nuclear Phys. B 328, 733–752 (1989). Knizhnik, V. and Zamolodchikov, A. B. Current algebra and Wess-Zumino model in two dimensions,Nuclear Phys. B 247, 83–103 (1984). Bernard, D., On the Wess-Zumino-Witten models on Riemann surfaces,Nuclear Phys. B 309, 145–174 (1988).