# Simple current extensions of vertex operator algebras by unitary modules

@article{Lin2017SimpleCE, title={Simple current extensions of vertex operator algebras by unitary modules}, author={Xingjun Lin}, journal={arXiv: Quantum Algebra}, year={2017} }

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

### On Infinite Order Simple Current Extensions of Vertex Operator Algebras

- Mathematics
- 2017

We construct a direct sum completion $\mathcal{C}_{\oplus}$ of a given braided monoidal category $\mathcal{C}$ which allows for the rigorous treatment of infinite order simple current extensions of…

### Loop groups and noncommutative geometry

- Mathematics
- 2015

We describe the representation theory of loop groups in terms of K-theory and noncommutative geometry. This is done by constructing suitable spectral triples associated with the level l projective…

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