Umbral moonshine and \(K3\) surfaces
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Publication:2356049
DOI10.1007/s00220-015-2398-5zbMath1394.11037arXiv1406.0619OpenAlexW2130074054WikidataQ59411356 ScholiaQ59411356MaRDI QIDQ2356049
Sarah M. Harrison, Miranda C. N. Cheng
Publication date: 28 July 2015
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.0619
Relationship to Lie algebras and finite simple groups (11F22) (K3) surfaces and Enriques surfaces (14J28) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)
Related Items (26)
Derived equivalences of K3 surfaces and twined elliptic genera ⋮ Comments on \(M_{24}\) representations and \(CY_{3}\) geometries ⋮ Algebraic structure of \(t\,t{*}\) equations for Calabi-Yau sigma models ⋮ A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ Mock modular Mathieu moonshine modules ⋮ From moonshine to mock moonshine ⋮ Squashed toric sigma models and mock modular forms ⋮ Generalised umbral moonshine ⋮ Three-charge black holes and quarter BPS states in little string theory ⋮ Fricke S-duality in CHL models ⋮ On the elliptic genera of manifolds of Spin(7) holonomy ⋮ Landau-Ginzburg orbifolds and symmetries of \(K3\) CFTs ⋮ 3D string theory and Umbral moonshine ⋮ BPS algebras, genus zero and the heterotic Monster ⋮ On Mathieu moonshine and Gromov-Witten invariants ⋮ Symmetries of the refined D1/D5 BPS spectrum ⋮ \(K3\) elliptic genus and an umbral moonshine module ⋮ No more walls! A tale of modularity, symmetry, and wall crossing for 1/4 BPS dyons ⋮ Quarter-BPS states in orbifold sigma models with ADE singularities ⋮ Perspectives on mock modular forms ⋮ Elliptic genera of ALE and ALF manifolds from gauged linear sigma models ⋮ Lost chapters in CHL black holes: untwisted quarter-BPS dyons in the \(\mathbb{Z}_2\) model ⋮ Some comments on symmetric orbifolds of K3 ⋮ N = ( 4 , 4 ) vector multiplets on curved two-manifolds ⋮ K3 string theory, lattices and moonshine ⋮ A Borcherds-Kac-Moody superalgebra with Conway symmetry
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