Free field realization of current superalgebra $gl(m|n)_k$
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Abstract
We construct the free field representation of the affine currents, energy-momentum tensor and screening currents of the first kind of the current superalgebra uniformly for and . The energy-momentum tensor is given by a linear combination of two Sugawara tensors associated with the two independent quadratic Casimir elements of .
Cite
@article{arxiv.0806.0190,
title = {Free field realization of current superalgebra $gl(m|n)_k$},
author = {Wen-Li Yang and Yao-Zhong Zhang and Xin Liu},
journal= {arXiv preprint arXiv:0806.0190},
year = {2008}
}
Comments
Latex file, 15 pages