K-matrices for 2D conformal field theories
High Energy Physics - Theory
2010-04-05 v3 Mesoscale and Nanoscale Physics
Abstract
In this paper we examine fermionic type characters (Universal Chiral Partition Functions) for general 2D conformal field theories with a bilinear form given by a matrix of the form K \oplus K^{-1}. We provide various techniques for determining these K-matrices, and apply these to a variety of examples including (higher level) WZW and coset conformal field theories. Applications of our results to fractional quantum Hall systems and (level restricted) Kostka polynomials are discussed.
Cite
@article{arxiv.hep-th/0212084,
title = {K-matrices for 2D conformal field theories},
author = {E. Ardonne and P. Bouwknegt and P. Dawson},
journal= {arXiv preprint arXiv:hep-th/0212084},
year = {2010}
}
Comments
59 pages, 2 figures, v2: note added, minor changes, references added, v3: typos corrected