Non-rational su(2) cosets and Liouville field theory
High Energy Physics - Theory
2015-10-08 v1
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.
Keywords
Cite
@article{arxiv.1510.01773,
title = {Non-rational su(2) cosets and Liouville field theory},
author = {Zbigniew Jaskolski and Paulina Suchanek},
journal= {arXiv preprint arXiv:1510.01773},
year = {2015}
}
Comments
48 pages, 2 figures