Non-rational su(2) cosets and Liouville field theory

Abstract

We propose an su(2) WZNW model with a non-rational level and a continuous spectrum based on the non-unitary hermitian representations of the chiral algebra su(2)_k. It is conjectured that for this model the continuous spectra counterpart of the Goddard-Kent-Olive (GKO) coset construction yields the Liouville and the imaginary Liouville field theories. We support the conjecture by a number of nontrivial tests based on analytic calculations.

48 pages, 2 figures

References in corpus (4)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Liouville theory with a central charge less than one
• H^+_3 WZNW model from Liouville field theory
• Open Verlinde line operators

Cited by in corpus (1)

• A slow review of the AGT correspondence