Sigma involutions associated with parafermion vertex operator algebra K(sl2,k) (Q5888869)

scientific article; zbMATH DE number 7678712

Language	Label	Description	Also known as
English	Sigma involutions associated with parafermion vertex operator algebra K(sl2,k)	scientific article; zbMATH DE number 7678712

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instance of

scholarly article

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title

Sigma involutions associated with parafermion vertex operator algebra K(sl2,k) (English)

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Linear and Multilinear Algebra

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publication date

25 April 2023

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full work available at URL

https://arxiv.org/abs/2012.10050

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zbMATH Keywords

vertex operator algebra

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fusion algebra

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automorphism

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MaRDI profile type

MaRDI publication profile

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cites work

Parafermion vertex operator algebras and $W$-algebras

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$\mathbb{Z}_k$-code vertex operator algebras

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The structure of parafermion vertex operator algebras

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$W$-algebras related to parafermion algebras

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Representations of $\mathbb{Z}_2$-orbifold of the parafermion vertex operator algebra $K(sl_{2},k)$

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Fusion rules for $\mathbb{Z}_2$-orbifolds of affine and parafermion vertex operator algebras

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

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Quantum dimensions and fusion rules for parafermion vertex operator algebras

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Decomposition of the lattice vertex operator algebra $V_{\sqrt{2}A_l}$.

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Q3065639

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$EE_8$-lattices and dihedral groups

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3-state Potts model and automorphisms of vertex operator algebras of order 3

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On 3-transposition groups generated by $\sigma$-involutions associated to $c=4/5$ Virasoro vectors

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Q3372539

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Vertex operator algebras, extended $E_8$ diagram, and McKay's observation on the Monster simple group

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Q5691063

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Q4945718

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Q3994993

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Monstrous moonshine and monstrous Lie superalgebras

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Construction and classification of holomorphic vertex operator algebras

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Introduction to vertex operator algebras and their representations

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A Moonshine path for $5A$ and associated lattices of ranks 8 and 16.

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$\mathbb{Z}_{2k}$-code vertex operator algebras

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Rationality, regularity, and 𝐶₂-cofiniteness

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$C_2$-cofiniteness of cyclic-orbifold models

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DIFFERENTIAL EQUATIONS AND INTERTWINING OPERATORS

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Q4277369

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On orbifold theory

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TWISTED MODULES OVER LATTICE VERTEX ALGEBRAS

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The algebraic structure of relative twisted vertex operators

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Calculus of twisted vertex operators

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

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Extensions of tensor products of $\mathbb{Z}_p$-orbifold models of the lattice vertex operator algebra $V_{\sqrt{2} A_{p - 1}}$

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Quantum dimensions and quantum Galois theory

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Lifts of automorphisms of vertex operator algebras in simple current extensions

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Construction of Holomorphic Vertex Operator Algebras of Central Charge 24 Using the Leech Lattice and Level p Lattices

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The VOAs generated by two Ising vectors $e$ and $f$ with $\langle e, f \rangle = \frac{1}{2^8}, |\tau_e \tau_f| = 3$ or $\langle e, f \rangle = \frac{3}{2^9}$

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6-Transposition Property of -Involutions of Vertex Operator Algebras

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Automorphism group of an orbifold vertex operator algebra associated with the Leech lattice

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Uniqueness of VOA structure of $3C$-algebra and $5A$-algebra

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Q4650705

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Module categories of simple current extensions of vertex operator algebras.

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Gluing vertex algebras

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Identifiers

DOI

10.1080/03081087.2021.1969326

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5888869