• Corpus ID: 119123828

Simple current extensions of vertex operator algebras by unitary modules

  title={Simple current extensions of vertex operator algebras by unitary modules},
  author={Xingjun Lin},
  journal={arXiv: Quantum Algebra},
  • Xingjun Lin
  • Published 12 September 2017
  • Mathematics
  • arXiv: Quantum Algebra
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. 
2 Citations

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