BRST Cohomology in Quantum Affine Algebra $U_q(\widehat{sl_2})$
High Energy Physics - Theory
2010-11-01 v1
Abstract
Using free field representation of quantum affine algebra , we investigate the structure of the Fock modules over . The analisys is based on a -analog of the BRST formalism given by Bernard and Felder in the affine Kac-Moody algebra . We give an explicit construction of the singular vectors using the BRST charge. By the same cohomology analysis as the classical case (), we obtain the irreducible highest weight representation space as a nontrivial cohomology group. This enables us to calculate a trace of the -vertex operators over this space.
Keywords
Cite
@article{arxiv.hep-th/9310108,
title = {BRST Cohomology in Quantum Affine Algebra $U_q(\widehat{sl_2})$},
author = {Hitoshi Konno},
journal= {arXiv preprint arXiv:hep-th/9310108},
year = {2010}
}
Comments
14 pages, RIMS-927