A Generalized Vertex Operator Algebra for Heisenberg Intertwiners

Details A Generalized Vertex Operator Algebra for Heisenberg Intertwiners A Generalized Vertex Operator Algebra for Heisenberg Intertwiners

2011-06-30

arxiv.org/abs/1106.6149v2

Mathematics

Quantum Algebra

22 pages, minor corrections made, to appear in the Journal of Pure and Applied Algebra

Scientific paper

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.

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