Representations of Affine Lie Algebras, Parabolic Differential Equations and Lam E Functions

Abstract

We consider correlation functions for the Wess-Zumino-Witten model on the torus with the insertion of a Cartan element; mathematically this means that we consider the function of the form F = Tr((1 (z 1) : : : n (z n)q ?@ e h) where i are intertwiners between Verma modules and evaluation modules over an aane Lie algebra ^ g, @ is the grading operator in a… (More)

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