Superconformal Coset Equivalence from Level-Rank Duality
High Energy Physics - Theory
2009-10-30 v3
Abstract
We construct a one-to-one map between the primary fields of the N=2 superconformal Kazama-Suzuki models G(m,n,k) and G(k,n,m) based on complex Grassmannian cosets, using level-rank duality of Wess-Zumino-Witten models. We then show that conformal weights, superconformal U(1) charges, modular transformation matrices, and fusion rules are preserved under this map, providing strong evidence for the equivalence of these coset models.
Keywords
Cite
@article{arxiv.hep-th/9705149,
title = {Superconformal Coset Equivalence from Level-Rank Duality},
author = {S. G. Naculich and H. J. Schnitzer},
journal= {arXiv preprint arXiv:hep-th/9705149},
year = {2009}
}
Comments
25 pages, harvmac, no figures, added reference