A generalized vertex operator algebra for Heisenberg intertwiners

Abstract

We consider the extension of the Heisenberg vertex operator algebra by all its irreducible modules. We give an elementary construction for the intertwining vertex operators and show that they satisfy a complex parametrized generalized vertex operator algebra. We illustrate some of our results with the example of integral lattice vertex operator superalgebras.

Twisted Frobenius Identities from Vertex Operator Superalgebras

“…Consider the expression for the torus orbifold intertwining two-point function (11). Using (4) we derive the following:…”

“…휅 ( , ) has an expansion in the neighborhood of the punctures at 0, in terms of local coordinates 1 = and 1 = , and 1 = − and 2 = − as follows [11]:…”

“…In Section 5 of [11] an isomorphic construction is described whereby the -twisted module is determined by the action of the original vertex operators on a twisted vector…”

Higher Genus Characters for Vertex Operator Superalgebras on Sewn Riemann Surfaces

“…In this paper (based on several conference talks of the author) we review our recent results [1][2][3][4][5] on construction and computation of correlation functions of vertex operator superalgebras with a formal parameter associated to local coordinates on a self-sewn Riemann surface of genus g which forms a genus 1 g  surface. In particular, we review result presented in the papers [1][2][3][4][5] accomplished in collaboration with M. P. Tuite (National University of Ireland, Galway, Ireland).…”

“…We define the notion of creative intertwining operators in [3]. Suppose we have a VOA V with a V -module…”