Séminaire de Physique Théorique

Boundary Knizhnik-Zamolodchikov-Bernard equations
Jasper Stokman (Korteweg-de Vries Institute for Mathematics, Amsterdam)
Thursday 18 May 2017 14:00 -  Tours -  Amphithéâtre 030 (Bât E1)

Résumé :
In this talk I will discuss properties of matrix coefficients of products of affine Lie algebra intertwiners (vertex operators). I consider matrix coefficients with respect to (co)vectors that behave as one-dimensional representations for the fixed point Lie subalgebra under the Chevalley involution. The fixed point subalgebra is a generalized Onsager algebra. I will show that these matrix coefficients satisfy boundary versions of Knizhnik-Zamolodchikov-Bernard (KZB) equations. The choice of a pair of one-dimensional representations of the generalized Onsager algebra determines the free parameters in the boundary KZB equations. This talk is based on joint work with Nicolai Reshetikhin.

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