Integrable perturbations of conformal field theories and Yetter-Drinfeld modules
Quantum Algebra
2014-12-31 v2 High Energy Physics - Theory
Abstract
In this paper we relate a problem in representation theory - the study of Yetter-Drinfeld modules over certain braided Hopf algebras - to a problem in two-dimensional quantum field theory, namely the identification of integrable perturbations of a conformal field theory. A prescription that parallels Lusztig's construction allows one to read off the quantum group governing the integrable symmetry. As an example, we illustrate how the quantum group for the loop algebra of sl(2) appears in the integrable structure of the perturbed uncompactified and compactified free boson.
Keywords
Cite
@article{arxiv.1211.4726,
title = {Integrable perturbations of conformal field theories and Yetter-Drinfeld modules},
author = {David Buecher and Ingo Runkel},
journal= {arXiv preprint arXiv:1211.4726},
year = {2014}
}
Comments
67 pages; v2: including changes suggested by the referee