sl(2)_{-1/2} and the Triplet Model
Abstract
Conformal field theories with sl(2)_{-1/2} symmetry are studied with a view to investigating logarithmic structures. Applying the parafermionic coset construction to the non-logarithmic theory, a part of the structure of the triplet model is uncovered. In particular, the coset theory is shown to admit the triplet W-algebra as a chiral algebra. This motivates the introduction of an augmented sl(2)_{-1/2}-theory for which the corresponding coset theory is precisely the triplet model. This augmentation is envisaged to lead to a precise characterisation of the "logarithmic lift" of the non-logarithmic sl(2)_{-1/2}-theory that has been proposed by Lesage et al.
Cite
@article{arxiv.1001.3960,
title = {sl(2)_{-1/2} and the Triplet Model},
author = {David Ridout},
journal= {arXiv preprint arXiv:1001.3960},
year = {2014}
}
Comments
27 pages, 3 figures, 1 table; v2 added refs to vertex algebra literature and a few comments