Virasoro Correlation Functions for Vertex Operator Algebras

Mathematics – Quantum Algebra

Scientific paper

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22 pages, minor typos corrected

Scientific paper

We consider all genus zero and genus one 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 graph theory related to derangements in the genus zero case and to
partial permutations in the genus one case.

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