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- W4302836207 abstract "It is shown that the supersymmetry-preserving automorphisms of any non-linear sigma-model on K3 generate a subgroup of the Conway group Co_1. This is the stringy generalisation of the classical theorem, due to Mukai and Kondo, showing that the symplectic automorphisms of any K3 manifold form a subgroup of the Mathieu group M_{23}. The Conway group Co_1 contains the Mathieu group M_{24} (and therefore in particular M_{23}) as a subgroup. We confirm the predictions of the Theorem with three explicit CFT realisations of K3: the T^4/Z_2 orbifold at the self-dual point, and the two Gepner models (2)^4 and (1)^6. In each case we demonstrate that their symmetries do not form a subgroup of M_{24}, but lie inside Co_1 as predicted by our Theorem." @default.
- W4302836207 created "2022-10-07" @default.
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- W4302836207 date "2011-06-21" @default.
- W4302836207 modified "2023-09-23" @default.
- W4302836207 title "Symmetries of K3 sigma models" @default.
- W4302836207 doi "https://doi.org/10.48550/arxiv.1106.4315" @default.
- W4302836207 hasPublicationYear "2011" @default.
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