Second-quantized Mathieu moonshine

DOI10.4310/CNTP.2014.v8.n3.a2zbMath1355.11036arXiv1312.0622MaRDI QIDQ2514182

Daniel Persson, Roberto Volpato

Publication date: 2 February 2015

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0622

zbMATH Keywords

Siegel modular formsMathieu moonshineS-dualitywallcrossing formula

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Relationship to Lie algebras and finite simple groups (11F22) Quantization in field theory; cohomological methods (81T70) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46)

Related Items (20)

Comments on \(M_{24}\) representations and \(CY_{3}\) geometries ⋮ Mock modular Mathieu moonshine modules ⋮ Fricke S-duality in CHL models ⋮ Dualities in CHL-models ⋮ Landau-Ginzburg orbifolds and symmetries of \(K3\) CFTs ⋮ BKM Lie superalgebras from counting twisted CHL dyons. II. ⋮ Positivity of discrete information for CHL black holes ⋮ \(\widehat{sl(2)}\) decomposition of denominator formulae of some BKM Lie superalgebras. II. ⋮ No more walls! A tale of modularity, symmetry, and wall crossing for 1/4 BPS dyons ⋮ Perspectives on mock modular forms ⋮ Lost chapters in CHL black holes: untwisted quarter-BPS dyons in the \(\mathbb{Z}_2\) model ⋮ Mathieu moonshine and Siegel modular forms ⋮ Horizon states and the sign of their index in \(\mathcal{N} = 4\) dyons ⋮ Some comments on symmetric orbifolds of K3 ⋮ 4-manifolds and topological modular forms ⋮ \(\widehat{sl(2)}\) decomposition of denominator formulae of some BKM Lie superalgebras ⋮ Finite groups of symplectic automorphisms of hyperkahler manifolds of type K3 ⋮ Properties of dyons in \( \mathcal{N} = 4 \) theories at small charges ⋮ A Borcherds-Kac-Moody superalgebra with Conway symmetry ⋮ Umbral moonshine and \(K3\) surfaces

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