H3+-WZNW correlators from Liouville theory
By S. Ribault, J. Teschner. 2005
142 citations recorded by the source corpus.
We prove that arbitrary correlation functions of the H3+-WZNW model on a sphere have a simple expression in terms of Liouville theory correlation functions. This is based on the correspondence between the KZ and BPZ equations, and on relations between the structure constants of Liouville theory and the H3+-WZNW model. In the critical level limit, these results imply a direct link between eigenvectors of the Gaudin hamiltonians and the problem of uniformization of Riemann surfaces. We also present an expression for correlation functions of the SL(2)/U(1) gauged WZNW model in terms of correlation functions in Liouville theory.
Subfields: Algebra and Number Theory, Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/cc7305196644b763171f951d900cea6024dfae1b
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In Algebra and Number Theory
In Geometry and Topology
In Nuclear and High Energy Physics
Citations in the corpus
- Affine SL(2) Conformal Blocks from 4d Gauge Theories (2010, methodology): “10The four-point conformal block on the sphere is expected to have this behavior [41,42].”
- Instanton counting with a surface operator and the chain-saw quiver (2011, background): “two points of view should be related to the mapping between the Toda theory and the WZW theory [74, 75, 76, 77, 78], and is also worth further investigation.”
- Topological expansion and boundary conditions (2007, result): “Also, our result can have interpretations in conformal field theories when one goes to the so called double-scaling-limit [6, 5], and should be compared with recent results from Liouville theory [ 19 , 16, 2]. In particular, in [2], our formula for planar disc”