W-Algebras Extending Affine gl(1|1)
High Energy Physics - Theory
2011-11-23 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
It was recently shown that gl^(1|1) admits an infinite family of simple current extensions. Here, these findings are reviewed and explicit free field realisations of the extended algebras are constructed. The leading contributions to the operator product algebra are then calculated. Among these extensions, one finds four infinite families that seem to contain, as subalgebras, copies of the W^(2)_N algebras of Feigin and Semikhatov at various levels and central charges +/- 1.
Cite
@article{arxiv.1111.5049,
title = {W-Algebras Extending Affine gl(1|1)},
author = {Thomas Creutzig and David Ridout},
journal= {arXiv preprint arXiv:1111.5049},
year = {2011}
}
Comments
12 pages. This is a proceedings article based on a talk by TC at the Ninth International Workshop "Lie Theory and its Applications in Physics" in Varna, Bulgaria (20--26 June, 2011)