dorsal/arxiv
View SchemaThe theory of physical superselection sectors in terms of vertex operator algebra language
| Authors | Haisheng Li |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9504026 |
| URL | https://arxiv.org/abs/q-alg/9504026 |
Abstract
We formulate an interpretation of the theory of physical superselection sectors in terms of vertex operator algebra language. Using this formulation we give a construction of simple current from a primary semisimple element of weight one. We then prove that if a rational vertex operator algebra $V$ has a simple current $M$ satisfying certain conditions, then $V\oplus M$ has a natural rational vertex operator (super)algebra structure. Applying our results to a vertex operator algebra associated to an affine Lie algebra, we construct its simple currents and the extension by a simple current. We also present two essentially equivalent constructions for twisted modules for an inner automorphism from the adjoint module or any untwisted module.
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"abstract": "We formulate an interpretation of the theory of physical superselection\nsectors in terms of vertex operator algebra language. Using this formulation we\ngive a construction of simple current from a primary semisimple element of\nweight one. We then prove that if a rational vertex operator algebra $V$ has a\nsimple current $M$ satisfying certain conditions, then $V\\oplus M$ has a\nnatural rational vertex operator (super)algebra structure. Applying our results\nto a vertex operator algebra associated to an affine Lie algebra, we construct\nits simple currents and the extension by a simple current. We also present two\nessentially equivalent constructions for twisted modules for an inner\nautomorphism from the adjoint module or any untwisted module.",
"arxiv_id": "q-alg/9504026",
"authors": [
"Haisheng Li"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "The theory of physical superselection sectors in terms of vertex operator algebra language",
"url": "https://arxiv.org/abs/q-alg/9504026"
},
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