The Character of the Infinite Wedge Representation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 57 pages; typos in bibliography corrected

Scientific paper

We study the character of the infinite wedge projective representation of the algebra of differential operators on the circle. We prove quasi-modularity of this character and also compute certain generating functions for traces of differential operators which we call correlation functions. These correlation functions are sums of determinants built from genus 1 theta functions and their derivatives.

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