Simple current extensions of vertex operator algebras by unitary modules

Xingjun Lin

Simple current extensions of vertex operator algebras by unitary modules

Quantum Algebra 2018-11-06 v3

Authors: Xingjun Lin

Abstract

In this paper, a condition making vertex operator superalgebras to be unitary is determined and an analogue of conformal spin-statistics theorem in conformal field theory is proved. As an application of these results, it is proved that under some assumptions there exist vertex operator algebra structures on the direct sum of simple current unitary modules of unitary vertex operator algebras.

Keywords

vertex operator algebra unitary module simple current extension vertex operator superalgebra conformal field theory spin-statistics theorem

Cite

@article{arxiv.1709.03710,
  title  = {Simple current extensions of vertex operator algebras by unitary modules},
  author = {Xingjun Lin},
  journal= {arXiv preprint arXiv:1709.03710},
  year   = {2018}
}

Comments

I missed a condition in Theorem 2.10, which is important in this paper, hence I request to withdraw this paper

Simple current extensions of vertex operator algebras by unitary modules

Abstract

Keywords

Cite

Comments

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