Vertex operator superalgebras and the 16-fold way (Q5158098)

scientific article; zbMATH DE number 7412261

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English	Vertex operator superalgebras and the 16-fold way	scientific article; zbMATH DE number 7412261

Statements

instance of

scholarly article

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title

Vertex operator superalgebras and the 16-fold way (English)

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Transactions of the American Mathematical Society

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publication date

21 October 2021

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full work available at URL

https://arxiv.org/abs/2001.00365

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zbMATH Keywords

vertex operator superalgebras

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fermionic modular tensor category

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MaRDI profile type

MaRDI publication profile

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cites work

Rationality, regularity, and 𝐶₂-cofiniteness

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The irreducible modules and fusion rules for the parafermion vertex operator algebras

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Twisted sectors for tensor product vertex operator algebras associated to permutation groups

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Fermionic modular categories and the 16-fold way

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Classification of super-modular categories by rank

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Twisted group algebras and their representations

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Quasi Hopf algebras, group cohomology and orbifold models

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Vertex algebras associated with even lattices

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Twisted modules for vertex algebras associated with even lattices

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On Rationality of Vertex Operator Superalgebras

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Quantum dimensions and quantum Galois theory

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Generalized vertex algebras and relative vertex operators

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The algebraic structure of relative twisted vertex operators

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Simple currents and extensions of vertex operator algebras

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Regularity of rational vertex operator algebras

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Twisted representations of vertex operator algebras

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Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

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Congruence property in conformal field theory

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Vertex operator algebras, generalized doubles and dual pairs

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\(\mathbb{Z}\)-graded weak modules and regularity

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Modularity in orbifold theory for vertex operator superalgebras

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TWISTED REPRESENTATIONS OF VERTEX OPERATOR SUPERALGEBRAS

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A new duality theory for compact groups

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On fusion categories.

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Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈

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On axiomatic approaches to vertex operator algebras and modules

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Three equivalent rationalities of vertex operator superalgebras

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On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories

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Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries

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Local systems of vertex operators, vertex superalgebras and modules

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Some finiteness properties of regular vertex operator algebras

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\(C_2\)-cofiniteness of cyclic-orbifold models

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Identifiers

zbMATH Open document ID

1481.17042

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DOI

10.1090/tran/8454

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5158098