Monday, August 6, 2012

1208.0809 (Mark A. Walton)

On affine fusion and the phase model    [PDF]

Mark A. Walton
A brief review is given of the integrable realization of affine fusion discovered recently by Korff and Stroppel. They showed that the affine fusion of the su(n) Wess-Zumino-Novikov-Witten (WZNW) conformal field theories appears in a simple integrable system known as the phase model. The algebraic Bethe ansatz constructs the commuting operators of the phase model as Schur polynomials, with non-commuting hopping operators as arguments. These non-commutative Schur polynomials play roles similar to those of the primary field operators in the corresponding WZNW model. In particular, their 3-point functions are the su(n) fusion multiplicities. We show here how the new phase model realization of affine fusion makes obvious the existence of threshold levels, and how it accommodates higher-genus fusion.
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