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H^+_3 WZNW model from Liouville field theory

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arxiv 0706.1030 v3 pith:7BVXV3ZZ submitted 2007-06-07 hep-th

Yasuaki Hikida , Volker Schomerus This is my paper · ORCID
classification hep-th
keywords liouvillemodelrelationwznwcorrelationfieldfieldsfunctions
verification ladder T0 review T1 audit T2 compute T3 formal
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There exists an intriguing relation between genus zero correlation functions in the H^+_3 WZNW model and in Liouville field theory. 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.

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Cited by 4 Pith papers

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  1. Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory

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    A dual 2D CFT description of MHV leaf amplitudes using non-compact parafermions is shown to reproduce the known dressed Liouville realization.

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    Negative-tension ZZ-branes are required by resurgence to build complete transseries for minimal-string free energies, with analytic Stokes data and extensions to JT gravity and other string models.

  4. Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality

    hep-th 2026-01 unverdicted novelty 2.0 of 10

    Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.

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