Current Algebra of Super WZNW Models
High Energy Physics - Theory
2009-10-22 v1
Abstract
We derive the current algebra of supersymmetric principal chiral models with a Wess-Zumino term. At the critical point one obtains two commuting super Kac-Moody algebra as expected, but in general there are intertwining fields connecting both right and left sectors, analogously to the bosonic case. Moreover, in the present supersymmetric extension we have a quadratic algebra, rather than an affine Lie algebra, due to the mixing between bosonic and fermionic fields since the purely fermionic sector displays a Lie algebra as well.
Keywords
Cite
@article{arxiv.hep-th/9301108,
title = {Current Algebra of Super WZNW Models},
author = {E. Abdalla and M. C. B. Abdalla and O. H. G. Branco and L. E. Saltini},
journal= {arXiv preprint arXiv:hep-th/9301108},
year = {2009}
}
Comments
13 pages