dorsal/arxiv
View SchemaIntertwining Operator Algebras, Genus-Zero Modular Functors and Genus-Zero Conformal Field Theories
| Authors | Yi-Zhi Huang |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9512024 |
| URL | https://arxiv.org/abs/q-alg/9512024 |
Abstract
We describe the construction of the genus-zero parts of conformal field theories in the sense of G. Segal from representations of vertex operator algebras satisfying certain conditions. The construction is divided into four steps and each step gives a mathematical structure of independent interest. These mathematical structures are intertwining operator algebras, genus-zero modular functors, genus-zero holomorphic weakly conformal field theories, and genus-zero conformal field theories.
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"date_created": "2026-03-02T18:01:28.422000Z",
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"abstract": "We describe the construction of the genus-zero parts of conformal field\ntheories in the sense of G. Segal from representations of vertex operator\nalgebras satisfying certain conditions. The construction is divided into four\nsteps and each step gives a mathematical structure of independent interest.\nThese mathematical structures are intertwining operator algebras, genus-zero\nmodular functors, genus-zero holomorphic weakly conformal field theories, and\ngenus-zero conformal field theories.",
"arxiv_id": "q-alg/9512024",
"authors": [
"Yi-Zhi Huang"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "Intertwining Operator Algebras, Genus-Zero Modular Functors and Genus-Zero Conformal Field Theories",
"url": "https://arxiv.org/abs/q-alg/9512024"
},
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