## A Generalized Vertex Operator Algebra for Heisenberg Intertwiners

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2011##### Author

Tuite, Michael P.

Zuevsky, Alexander

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Michael P. Tuite and Alexander Zuevsky(2011)A Generalized Vertex Operator Algebra for Heisenberg Intertwiners, Michael P. Tuite and Alexander Zuevsky

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##### 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.