Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras (Q5045603)

scientific article; zbMATH DE number 7612766

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English	Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras	scientific article; zbMATH DE number 7612766

Statements

instance of

scholarly article

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title

Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras (English)

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published in

Transactions of the American Mathematical Society

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publication date

7 November 2022

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full work available at URL

https://arxiv.org/abs/1406.4191

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MaRDI publication profile

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cites work

Fusion rules for the charge conjugation orbifold

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Fusion rules for the vertex operator algebras $M(1)^+$ and $V_L^+$

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

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The branching rules of conformal embeddings

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Level-rank duality in nonunitary coset theories

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Orbifolds and cosets of minimal ${\mathcal{W}}$-algebras

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$W$-algebras as coset vertex algebras

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Coset vertex operator algebras and $\mathcal W$-algebras of $A$-type

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Zhu's algebra, $C_2$-algebra and $C_2$-cofiniteness of parafermion vertex operator algebras

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Parafermion vertex operator algebras and $W$-algebras

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Howe correspondence for reductive groups over finite fields

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COSET REALIZATION OF UNIFYING ${\mathcal W}$ ALGEBRAS

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Vertex algebras, Kac-Moody algebras, and the Monster

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Parafermion Hall states from coset projections of abelian conformal theories

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Extension of the Tensor Product of Unitary Virasoro Vertex Operator Algebra

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Super duality and irreducible characters of ortho-symplectic Lie superalgebras

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The varieties of Heisenberg vertex operator algebras

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Schur-Weyl duality for Heisenberg cosets

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Q4314340

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Framed vertex operator algebras, codes and the moonshine module

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Rationality of vertex operator algebra V L + : higher rank

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The structure of parafermion vertex operator algebras

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Decomposition of the vertex operator algebra $V_{\sqrt{2A_3}}$

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$W$-algebras related to parafermion algebras

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Generalized vertex algebras and relative vertex operators

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Regularity of rational vertex operator algebras

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Simple currents and extensions of 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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Representations of the parafermion vertex operator algebras

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On axiomatic approaches to vertex operator algebras and modules

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Analysis on foliated spaces and arithmetic geometry

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Identifiers

DOI

10.1090/tran/8207

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5045603