English

A Generalized Vertex Operator Algebra for Heisenberg Intertwiners

Quantum Algebra 2012-11-08 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1106.6149,
  title  = {A Generalized Vertex Operator Algebra for Heisenberg Intertwiners},
  author = {Michael P. Tuite and Alexander Zuevsky},
  journal= {arXiv preprint arXiv:1106.6149},
  year   = {2012}
}

Comments

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

R2 v1 2026-06-21T18:29:38.897Z