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The Character of the Infinite Wedge Representation
classification
alg-geom
hep-thmath.AGmath.DGq-alg
keywords
functionscharactercorrelationdifferentialinfiniteoperatorsrepresentationwedge
read the original abstract
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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