Tensor products of psl(2|2) representations
High Energy Physics - Theory
2007-05-23 v1 Statistical Mechanics
Mathematical Physics
math.MP
Representation Theory
Abstract
The aim of this work is to study finite dimensional representations of the Lie superalgebra psl(2|2) and their tensor products. In particular, we shall decompose all tensor products involving typical (long) and atypical (short) representations as well as their so-called projective covers. While tensor products of long multiplets and projective covers close among themselves, we shall find an infinite family of new indecomposables in the tensor products of two short multiplets. Our note concludes with a few remarks on possible applications to the construction of AdS_3 backgrounds in string theory.
Cite
@article{arxiv.hep-th/0506072,
title = {Tensor products of psl(2|2) representations},
author = {Gerhard Gotz and Thomas Quella and Volker Schomerus},
journal= {arXiv preprint arXiv:hep-th/0506072},
year = {2007}
}
Comments
29 pages