Genus two virasoro correlation functions for vertex operator algebras
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Date
2016-12-06Author
Tuite, Michael P.
Gilroy, Thomas
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Gilroy, Thomas , & Tuite, Michael P. . (2016). Genus Two Virasoro Correlation Functions for Vertex Operator Algebras.
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Abstract
We consider all genus two correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially expressed in terms of a sequence of globally defined differential operators on which the genus two Siegel modular group Sp(4,Z) has a natural action.