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Crystal limit and Baxter's Q-operator: a combinatorial construction of WZNW fusion rings

Presented by: 
C Korff [Glasgow]
Date: 
Tuesday 24th March 2009 - 11:30 to 12:30
Venue: 
Center for Mathematical Sciences
Abstract: 
Considering the crystal limit of the modular XXZ spin-chain I will show that one arrives at a purely combinatorial construction of the fusion ring (also known as Verlinde algebra) of su(n) Wess-Zumino-Novikov-Witten (WZNW) conformal field theory. The transfer matrix and Baxter's Q-operator have a well defined meaning in this limit: they correspond to symmetric polynomials in non-commutative variables which are related to Kashiwara's crystal operators.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons