Level-One Representations and Vertex Operators of Quantum Affine Superalgebra $U_q[\hat{gl(N|N)}]$
Quantum Algebra
2009-10-31 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Representation Theory
Exactly Solvable and Integrable Systems
solv-int
Abstract
Level-one representations of the quantum affine superalgebra associated to the appropriate non-standard system of simple roots and -vertex operators (intertwining operators) associated with the level-one modules are constructed explicitly in terms of free bosonic fields.
Keywords
Cite
@article{arxiv.math/9812084,
title = {Level-One Representations and Vertex Operators of Quantum Affine Superalgebra $U_q[\hat{gl(N|N)}]$},
author = {Yao-Zhong Zhang},
journal= {arXiv preprint arXiv:math/9812084},
year = {2009}
}
Comments
Errors in the cocycle factors of the vertex operators and some typos are corrected. LaTex file 17 pages