On deformed W-algebras and quantum affine algebras
Quantum Algebra
2008-11-26 v2 High Energy Physics - Theory
Abstract
We discuss some aspects of the deformed W-algebras W_{q,t}[g]. In particular, we derive an explicit formula for the Kac determinant, and discuss the center when t^2 is a primitive k-th root of unity. The relation of the structure of W_{q,t}[g] to the representation ring of the quantum affine algebra U_q(\hat g), as discovered recently by Frenkel and Reshetikhin, is further elucidated in some examples.
Keywords
Cite
@article{arxiv.math/9801112,
title = {On deformed W-algebras and quantum affine algebras},
author = {P. Bouwknegt and K. Pilch},
journal= {arXiv preprint arXiv:math/9801112},
year = {2008}
}
Comments
40 pages, plain TeX with amssym.def, improved referencing