Mathematics – Quantum Algebra
Scientific paper
2012-01-13
Mathematics
Quantum Algebra
32 pages
Scientific paper
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. A full Galois theory for rational vertex operator algebras is established using the quantum dimensions.
Dong Chongying
Jiao Xiangyu
Xu Feng
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