Past the Highest-Weight, and What You Can Find There
Abstract
The properties of highest-weight representations of the N=2 superconformal algebra in two dimensions can be considerably simplified when re-expressed in terms of relaxed ^sl(2) representations. This applies to the appearance of submodules and hence, of singular vectors, and to the structure of the embedding diagrams and the BGG-type resolution. I also discuss the realization of these representations in the bosonic string, where the generalized DDK prescription amounts to the requirement that the representations have a charged singular vector, and the role of the fermionic screening operator.
Keywords
Cite
@article{arxiv.q-alg/9712024,
title = {Past the Highest-Weight, and What You Can Find There},
author = {A M Semikhatov},
journal= {arXiv preprint arXiv:q-alg/9712024},
year = {2007}
}
Comments
LaTeX 2e, 16pp. Talk presented at the NATO Advanced Research Workshop on Theoretical Physics `New Developments in Quantum Field Theory', June 14--20, 1997, Zakopane, and IV International Conference `Conformal Field Theories and Integrable Models', Chernogolovka, June 23--27, 1997