Comments on \(M_{24}\) representations and \(CY_{3}\) geometries

DOI10.1007/JHEP11(2014)155zbMath1333.58010arXiv1409.1540MaRDI QIDQ271422

Timm Wrase, Natalie M. Paquette

Publication date: 7 April 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1540

zbMATH Keywords

topological stringsconformal field models in string theorydiscrete and finite symmetriessuperstrings and heterotic strings

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of differential geometry to physics (53Z05) Elliptic genera (58J26) Representations of sporadic groups (20C34) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items

Moonshine ⋮ On the elliptic genera of manifolds of Spin(7) holonomy ⋮ Landau-Ginzburg orbifolds and symmetries of \(K3\) CFTs ⋮ On Mathieu moonshine and Gromov-Witten invariants ⋮ Calabi-Yau manifolds and sporadic groups ⋮ On flux vacua and modularity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Umbral moonshine and the Niemeier lattices
• Moonshine in fivebrane spacetimes
• Mock modular Mathieu moonshine modules
• Much ado about Mathieu
• D-terms from generalized NS-NS fluxes in type II
• BPS-saturated string amplitudes: \(K3\) elliptic genus and Igusa cusp form \(\chi_{10}\)
• Umbral moonshine
• \(K3\) surfaces, \({\mathcal N}=4\) dyons and the Mathieu group \(M_{24}\)
• The overarching finite symmetry group of Kummer surfaces in the Mathieu group \(M_{24}\)
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• The effective action of \(N=1\) Calabi-Yau orientifolds
• Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
• Perturbative prepotential and monodromies in \(N=2\) heterotic superstring
• Perturbative couplings of vector multiplets in \(N=2\) heterotic string vacua
• Fivebranes, membranes and non-perturbative string theory
• Mathieu twining characters for \(K3\)
• Mathieu moonshine in the elliptic genus of K3
• Topological strings on elliptic fibrations
• Umbral moonshine and \(K3\) surfaces
• Symmetries of \(K3\) sigma models
• Quantum geometry of elliptic Calabi-Yau manifolds
• Second-quantized Mathieu moonshine
• On the Motivic Stable Pairs Invariants of K3 Surfaces
• Symmetry-Surfing the Moduli Space of Kummer K3s
• Flux compactification
• Monstrous Moonshine
• Picard-Fuchs equations and mirror maps for hypersurfaces
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Notes on the K3 Surface and the Mathieu GroupM₂₄
• String Theory
• Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces
• Dual string vacua with \(N=2\) supersymmetry in four dimensions
• CFT's from Calabi-Yau four-folds