Unravelling Mathieu moonshine

DOI10.1016/j.nuclphysb.2012.07.005zbMath1262.83049arXiv1106.5715OpenAlexW1979677804MaRDI QIDQ1949647

Suresh Govindarajan

Publication date: 8 May 2013

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5715

Mathematics Subject Classification ID

Supergravity (83E50) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Representations of sporadic groups (20C34) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (13)

Mock modular Mathieu moonshine modules ⋮ Fricke S-duality in CHL models ⋮ Dualities in CHL-models ⋮ Mathieu Moonshine and Orbifold K3s ⋮ 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. ⋮ Refined partition functions for open superstrings with 4, 8 and 16 supercharges ⋮ Two moonshines for \(L_{2}(11)\) but none for \(M_{12}\) ⋮ Mathieu moonshine and Siegel modular forms ⋮ The overarching finite symmetry group of Kummer surfaces in the Mathieu group \(M_{24}\) ⋮ \(\widehat{sl(2)}\) decomposition of denominator formulae of some BKM Lie superalgebras ⋮ Umbral moonshine and \(K3\) surfaces

Uses Software

• ATLAS Group Representations

Cites Work

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• Notes on the K3 Surface and the Mathieu GroupM₂₄

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