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Umbral moonshine and \(K3\) surfaces (Q2356049)

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Language	Label	Description	Also known as
English	Umbral moonshine and \(K3\) surfaces	scientific article

Statements

scholarly article

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Umbral moonshine and \(K3\) surfaces (English)

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zbMATH Open document ID

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10.1007/s00220-015-2398-5

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Miranda C. N. Cheng

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Sarah M. Harrison

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Communications in Mathematical Physics

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publication date

28 July 2015

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full work available at URL

https://arxiv.org/abs/1406.0619

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

moonshine

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\(K3\) surfaces

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MaRDI profile type

MaRDI publication profile

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Monstrous Moonshine

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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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The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004

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Moonshine beyond the Monster

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Umbral moonshine

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A strong coupling test of \(S\)-duality

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The non-compact elliptic genus: mock or modular

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Elliptic genera and quantum field theory

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D3-instantons, mock theta series and twistors

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

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The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories

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Mathieu twining characters for \(K3\)

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Mathieu moonshine in the elliptic genus of K3

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

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Generalized Mathieu Moonshine

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On the Discrete Groups of Mathieu Moonshine

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Generalised Moonshine and Holomorphic Orbifolds

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Second-quantized Mathieu moonshine

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\(M_{24}\)-twisted product expansions are Siegel modular forms

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Much ado about Mathieu

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Modular invariant partition functions in two dimensions

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The overarching finite symmetry group of Kummer surfaces in the Mathieu group \(M_{24}\)

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Symmetries of \(K3\) sigma models

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Unravelling Mathieu moonshine

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Fifteen characterizations of rational double points and simple critical points

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Symmetry-Surfing the Moduli Space of Kummer K3s

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Moonshine in fivebrane spacetimes

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Derived equivalences of K3 surfaces and twined elliptic genera

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Umbral moonshine and the Niemeier lattices

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Kählerian K3 surfaces and Niemeier lattices. I

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Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups

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String theory dynamics in various dimensions

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Geometric engineering of quantum field theories

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Two-dimensional black hole and singularities of CY manifolds

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Little string theory in a double scaling limit

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Finite automorphism groups of complex tori of dimension two

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\(U(1)^m\) modular invariants, \(N=2\) minimal models, and the quantum Hall effect

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On the complete classification of unitary \(N = 2\) minimal superconformal field theories

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Phases of \(N=2\) theories in two dimensions

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ON THE LANDAU-GINZBURG DESCRIPTION OF N=2 MINIMAL MODELS

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Elliptic genera and \(N=2\) superconformal field theory

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Ramond sector characters and \(N=2\) Landau-Ginzburg models.

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String theory and black holes

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Non-holomorphic modular forms and SL(2,\(\mathbb{R}\))/U(1) superconformal field theory

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A twisted non-compact elliptic genus

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MOCK MAASS THETA FUNCTIONS

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Sur les genres multiplicatifs définis par des intégrales elliptiques. (On multiplicative genera defined by elliptic integrals)

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Elliptic curves and modular forms in algebraic topology. Proceedings of a conference held at the Institute for Advanced Study, Princeton, NJ, Sept. 15-17, 1986

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Definite quadratische Formen der Dimension 24 und Diskriminante 1

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A characterisation of Leech's lattice

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Notes on Sphere Packings

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Some Sphere Packings in Higher Space

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Niemeier lattices, Mathieu groups, and finite groups of symplectic automorphisms of \(K3\) surfaces. With an appendix by Shigeru Mukai

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INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS

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Finite groups of automorphisms of K3 surfaces and the Mathieu group

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Finite symplectic actions on the <i>K</i>3 lattice

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ON KUMMER SURFACES

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Consistency of orbifold conformal field theories on \(K3\).

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The theory of Jacobi forms

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Sitelinks

Mathematics(1 entry)

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