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Conformal field theories with sporadic group symmetry (Q2244083)

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Language	Label	Description	Also known as
English	Conformal field theories with sporadic group symmetry	scientific article

Statements

scholarly article

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Conformal field theories with sporadic group symmetry (English)

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Jeffrey A. Harvey

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Brandon C. Rayhaun

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Communications in Mathematical Physics

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publication date

11 November 2021

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full work available at URL

https://arxiv.org/abs/2002.02970

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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The friendly giant

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A conjugacy theorem for \(E_8\)

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A Simple Subgroup of <i>M</i> ? and <i>E</i> <sub>8</sub> (3)

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A natural representation of the Fischer-Griess Monster with the modular function <i>J</i> as character

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Monstrous moonshine and monstrous Lie superalgebras

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Super-moonshine for Conway's largest sporadic group

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THE MOONSHINE MODULE FOR CONWAY’S GROUP

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Notes on the K3 Surface and the Mathieu Group<i>M</i><sub>24</sub>

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\(K3\) surfaces, \({\mathcal N}=4\) dyons and the Mathieu group \(M_{24}\)

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Mathieu moonshine in the elliptic genus of K3

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Twisted elliptic genus for \(K3\) and Borcherds product

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Much ado about Mathieu

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Umbral moonshine

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Umbral moonshine and the Niemeier lattices

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Proof of the umbral moonshine conjecture

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Traces of singular moduli and moonshine for the Thompson group

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A proof of the Thompson moonshine conjecture

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Remarks on Classical Invariant Theory

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McKay's \(E_6\) observation on the largest Fischer group

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Virasoro algebras and coset space models

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Unitary representations of the Virasoro and super-Virasoro algebras

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A simple construction for the Fischer-Griess monster group

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6-Transposition Property of -Involutions of Vertex Operator Algebras

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\(EE_8\)-lattices and dihedral groups

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Vertex operator algebras generated by two conformal vectors whose \(\tau\)-involutions generate \(S_{3}\).

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Vertex operator algebra with two Miyamoto involutions generating \(S_{3}\).

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Griess algebras and conformal vectors in vertex operator algebras

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Schur-Weyl duality for Heisenberg cosets

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Mirror extensions of rational vertex operator algebras

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Hecke relations in rational conformal field theory

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Conformal field theory

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Nonabelian orbifolds and the boson-fermion correspondence

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Modular invariance of characters of vertex operator algebras

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Classical and quantum conformal field theory

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Fusion rules and modular transformations in 2D conformal field theory

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

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Modularity in orbifold theory for vertex operator superalgebras

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Beauty and the beast: Superconformal symmetry in a monster module

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Integrable and conformal boundary conditions for ℤ<sub><i>k</i></sub>parafermions on a cylinder

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Conformal field theories, representations and lattice constructions

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Vertex operator algebras associated to representations of affine and Virasoro algebras

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The operator algebra of orbifold models

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Representations of vertex operator algebra \(V_L^+\) for rank one lattice \(L\)

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Classification of irreducible modules for the vertex operator algebra \(V_{L}^{+}\): general case.

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Framed vertex operator algebras, codes and the moonshine module

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Quasi-lisse vertex algebras and modular linear differential equations

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Modular differential equations and null vectors

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Vertex operator algebras, Higgs branches, and modular differential equations

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Hypergeometric series, modular linear differential equations and vector-valued modular forms

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The kernel of the modular representation and the Galois action in RCFT

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Construction of Automorphic Forms and Integrals

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Rademacher sums, moonshine and gravity

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On Rademacher sums, the largest Mathieu group and the holographic modularity of moonshine

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A modern fareytail

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A conformal block Farey tail

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Rademacher expansions and the spectrum of 2d CFT

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Exact half-BPS black hole entropies in CHL models from Rademacher series

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Properties of extremal CFTs with small central charge

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Rademacher Sums and Rademacher Series

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Operator content of two-dimensional conformally invariant theories

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Monstrous Moonshine

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Research topics in finite groups and vertex algebras

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The group of symmetries of the shorter Moonshine module

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2A-orbifold construction and the baby-monster vertex operator superalgebra

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McKay’s E7 Observation on the Baby Monster

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Monster anatomy

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Two-dimensional RCFT's without Kac-Moody symmetry

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Decompositions of the moonshine module with respect to subVOAs associated to codes over \(\mathbb Z_{2k}\)

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The 290 fixed-point sublattices of the Leech lattice

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The Magma algebra system. I: The user language

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Associative subalgebras of the Griess algebra

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\(\mathbb{Z}_2 \times \mathbb{Z}_2\) codes and vertex operator algebras

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The maximal subgroups of the Baby Monster. I

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The Maximal Subgroups of the Fischer Groups F<i>i</i> <sub>24</sub> and F<i>i′</i> <sub>24</sub>

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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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Uniqueness of VOA structure of \(3C\)-algebra and \(5A\)-algebra

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\(6A\)-algebra and its representations

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The character table of \(2_+^{1+22}.Co_2\).

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Supersymmetry and the Suzuki chain

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Identifiers

zbMATH Open document ID

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10.1007/s00220-021-04207-7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2244083

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