Integrable perturbations of conformal field theories and Yetter-Drinfeld modules

Understand

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.