Quantum dimensions and quantum Galois theory

Dong, Chongying; Jiao, Xiangyu; Xu, Feng

doi:10.1090/S0002-9947-2013-05863-1

Quantum dimensions and quantum Galois theory
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by Chongying Dong, Xiangyu Jiao and Feng Xu PDF

Trans. Amer. Math. Soc. 365 (2013), 6441-6469 Request permission

Abstract:

The quantum dimensions of modules for vertex operator algebras are defined and their properties are discussed. The possible values of the quantum dimensions are obtained for rational vertex operator algebras. A criterion for simple currents of a rational vertex operator algebra is given and a full Galois theory for rational vertex operator algebras is established using the quantum dimensions.

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