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Title: Integrable perturbations of conformal field theories and Yetter-Drinfeld modules

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.
Authors:
 [1] ;  [2]
  1. RTG “Mathematical Structures in Modern Quantum Physics,” Universität Göttingen, Bunsenstr. 3–5, 37073 Göttingen (Germany)
  2. Fachbereich Mathematik, Universität Hamburg, Bundesstraße 55, 20146 Hamburg (Germany)
Publication Date:
OSTI Identifier:
22403045
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 11; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; BOSONS; COMPACTIFICATION; CONFORMAL INVARIANCE; DISTURBANCES; INTEGRAL CALCULUS; PERTURBATION THEORY; QUANTUM FIELD THEORY; QUANTUM GROUPS