Degenerate Double Affine Hecke Algebra And Conformal Field Theory
q-alg
2007-05-23 v2 Quantum Algebra
Abstract
We introduce a class of induced representations of the degenerate double affine Hecke algebra of gl_N and analyze their structure mainly by means of intertwiners. We also construct them from modules of the affine Lie algebra using Knizhnik-Zamolodchikov connections in the conformal field theory. This construction provides a natural quotient of induced modules, which turns out to be the unique irreducible one under a certain condition. Some cunjectual formulas are presented for the symmetric part of these quotients.
Keywords
Cite
@article{arxiv.q-alg/9710031,
title = {Degenerate Double Affine Hecke Algebra And Conformal Field Theory},
author = {T. Arakawa and T. Suzuki and A. Tsuchiya},
journal= {arXiv preprint arXiv:q-alg/9710031},
year = {2007}
}
Comments
33 pages, Latex, changed contents