Vertex operator algebras, the Verlinde conjecture, and modular tensor categories
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Publication:5293358
DOI10.1073/pnas.0409901102zbMath1112.17029arXivmath/0412261OpenAlexW2024577606WikidataQ33936615 ScholiaQ33936615MaRDI QIDQ5293358
Publication date: 30 June 2007
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0412261
Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Symmetry breaking in quantum theory (81R40) Categorical structures (18D99)
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Cites Work
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- Rationality in conformal field theory
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- Conformal blocks and generalized theta functions
- Infinite Grassmannians and moduli spaces of \(G\)-bundles
- Rationality, quasirationality and finite \(W\)-algebras
- A theory of tensor products for module categories for a vertex operator algebra. III
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- A theory of tensor products for module categories for a vertex operator algebra. I
- A theory of tensor products for module categories for a vertex operator algebra. II
- Virasoro vertex operator algebras, the (nonmeromomorphic) operator product expansion and the tensor product theory
- Vertex algebras, Kac-Moody algebras, and the Monster
- Modular invariance of characters of vertex operator algebras
- Modular-invariance of trace functions in orbifold theory and generalized Moonshine.
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