H+(3) WZNW model from Liouville field theory
Jun, 200740 pages
Published in:
- JHEP 10 (2007) 064
e-Print:
- 0706.1030 [hep-th]
Report number:
- DESY-07-075
View in:
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Abstract: (arXiv)
There exists an intriguing relation between genus zero correlation functions in the H^+_3 WZNW model and in Liouville field theory. This was found by Ribault and Teschner based in part on earlier ideas by Stoyanovsky. We provide a path integral derivation of the correspondence and then use our new approach to generalize the relation to surfaces of arbitrary genus g. In particular we determine the correlation functions of N primary fields in the WZNW model explicitly through Liouville correlators with N+2g-2 additional insertions of certain degenerate fields. The paper concludes with a list of interesting further extensions and a few comments on the relation to the geometric Langlands program.- field theory: conformal
- dimension: 2
- Wess-Zumino-Witten model
- field theory: Liouville
- space: torus
- path integral
- n-point function
- Riemann surface: higher-order
- differential equations
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