Supergroup - extended super Liouville correspondence
Abstract
We derive a relation between correlation functions of supergroup WZNW models and conformal field theories with extended superconformal symmetry. The supergroups considered have a bosonic subgroup of the form SL(2) x A for some Lie group A. The corresponding conformal field theory is a super Liouville field theory coupled with the WZNW model on A. An example is a correspondence between the PSU(1,1|2) WZNW model and small N=4 super Liouville field theory. The OSP(n|2) WZNW model is related to a superconformal field theory with SO(n) extended superconformal symmetry of the Knizhnik-Bershadsky type. In the case n=4 this is simply the large N=(4,4) superconformal symmetry. Besides these two examples we make a general derivation encompassing the WZNW models on supergroups SL(2|n), D(2,1;\alpha), OSP(4|2n), F(4) and G(3) and their relation to models with extended superconformal algebras as symmetry.
Cite
@article{arxiv.1103.5753,
title = {Supergroup - extended super Liouville correspondence},
author = {Thomas Creutzig and Yasuaki Hikida and Peter B. Ronne},
journal= {arXiv preprint arXiv:1103.5753},
year = {2015}
}
Comments
30 pages