
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.
High Energy Physics - Theory, Algebra and Number Theory, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematics, Vertex operators; vertex operator algebras and related structures
High Energy Physics - Theory, Algebra and Number Theory, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematics, Vertex operators; vertex operator algebras and related structures
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