Representation Theory Seminar at KIAS, Korea
2013/07/30 (Tue)
speaker: Chul-hee Lee (Max Planck Institute for Mathematics)
time and venue: 16:00-18:00, Room 7323, KIAS, Seoul, Korea
title : Kirillov-Reshetikhin modules and fusion rings from conformal field theory
abstract:
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The Kirillov-Reshetikhin modules form a special class of finite dimensional representations of quantum groups. Their characters are known to satisfy some functional relations called T-systems and Q-systems. In an attempt to calculate the central charges of some conformal field theories using the dilogarithm function based on the Thermodynamic Bethe Ansatz, some conjectures about solutions of level restricted version of Q-systems have been proposed. In this talk, I will explain how the fusion rings of conformal field theory can be used to answer some of them and will add some new conjectures about the Kirillov-Reshetikhin modules. This talk will be accessible to those who have some basic knowledge of finite-dimensional representations of complex semisimple Lie algebras. |