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Lattices, vertex algebras, and modular categories (Q1704620)

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Language	Label	Description	Also known as
English	Lattices, vertex algebras, and modular categories	scientific article

Statements

scholarly article

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Lattices, vertex algebras, and modular categories (English)

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Jethro van Ekeren

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Journal of Geometry and Physics

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publication date

12 March 2018

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full work available at URL

https://arxiv.org/abs/1801.03753

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zbMATH Keywords

holomorphic vertex algebras

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tensor categories

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discriminant forms

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Schellekens' List

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MaRDI profile type

MaRDI publication profile

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Infinite conformal symmetry in two-dimensional quantum field theory

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Vertex algebras, Kac-Moody algebras, and the Monster

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Vertex operator algebras associated to representations of affine and Virasoro algebras

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A theory of tensor products for module categories for a vertex operator algebra. I

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Holomorphic vertex operator algebras of small central charge

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Klassenzahlen definiter quadratischer Formen

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Meromorphic \(c=24\) conformal field theories

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Construction and classification of holomorphic vertex operator algebras

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Global vertex operators on Riemann surfaces

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Two-dimensional conformal geometry and vertex operator algebras

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On axiomatic approaches to vertex operator algebras and modules

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

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Basic representations of affine Lie algebras and dual resonance models

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Current algebras and Wess-Zumino model in two dimensions

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Tensor Structures Arising from Affine Lie Algebras. I

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Classical and quantum conformal field theory

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Modular invariance of characters of vertex operator algebras

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Automorphic forms with singularities on Grassmannians

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Uniform product of \(A_{g,n}(V)\) for an orbifold model \(V\) and \(G\)-twisted Zhu algebra.

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

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On orbifold theory

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Generalized rationality and a ``Jacobi identity'' for intertwining operator algebras

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DIFFERENTIAL EQUATIONS AND INTERTWINING OPERATORS

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Cohomology Theory of Abelian Groups and Homotopy Theory II

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Generalized vertex algebras and relative vertex operators

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On the groups \(H(\Pi,n)\). II

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Automorphisms of finite order of semisimple Lie algebras

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Conformal field theories, representations and lattice constructions

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On the constructions of holomorphic vertex operator algebras of central charge 24

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Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24

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Classification of holomorphic framed vertex operator algebras of central charge 24

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Framed vertex operator algebras, codes and the moonshine module

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A ℤ3-Orbifold Theory of Lattice Vertex Operator Algebra and ℤ3-Orbifold Constructions

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Application of a ℤ₃-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices

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Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms

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ℤ₂-orbifold construction associated with (-1)-isometry and uniqueness of holomorphic vertex operator algebras of central charge 24

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A holomorphic vertex operator algebra of central charge 24 whose weight one Lie algebra has type \({A_{6,7}}\)

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Mirror extensions of vertex operator algebras

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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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TFT construction of RCFT correlators. I: Partition functions

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RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES

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Quantum invariants of knots and 3-manifolds

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A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications

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Congruence property in conformal field theory

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Quantum dimensions and quantum Galois theory

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On braided fusion categories. I

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Frobenius-Schur indicators for semisimple Lie algebras

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Extended Griess Algebras and Matsuo-Norton Trace Formulae

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The algebraic structure of relative twisted vertex operators

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TWISTED MODULES OVER LATTICE VERTEX ALGEBRAS

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The Weil Representation of and Some Applications

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.GEOMPHYS.2018.01.008

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Sitelinks

Mathematics(1 entry)

mardi Publication:1704620

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