SU(2)_0 and OSp(2|2)_{-2} WZNW models : Two current algebras, one Logarithmic CFT
High Energy Physics - Theory
2009-11-07 v2 Condensed Matter
Abstract
We show that the SU(2)_0 WZNW model has a hidden OSp(2|2)_{-2} symmetry. Both these theories are known to have logarithms in their correlation functions. We also show that, like OSp(2|2)_{-2}, the logarithmic structure present in the SU(2)_0 model is due to the underlying c=-2 sector. We also demonstrate that the quantum Hamiltonian reduction of SU(2)_0 leads very directly to the correlation functions of the c=-2 model. We also discuss some of the novel boundary effects which can take place in this model.
Cite
@article{arxiv.hep-th/0107160,
title = {SU(2)_0 and OSp(2|2)_{-2} WZNW models : Two current algebras, one Logarithmic CFT},
author = {I. I. Kogan and A. Nichols},
journal= {arXiv preprint arXiv:hep-th/0107160},
year = {2009}
}
Comments
31 pages. Revised version