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Snapshots of Conformal Field Theory

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arxiv 1404.3108 v2 pith:4XIDBLV6 submitted 2014-04-11 hep-th math-phmath.AGmath.MP

Katrin Wendland This is my paper · ORCID
classification hep-thmath-phmath.AGmath.MP
keywords fieldsuperconformaltheoriestheorycalabi-yauconformalsnapshotsaddresses
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In snapshots, this exposition introduces conformal field theory, with a focus on those perspectives that are relevant for interpreting superconformal field theory by Calabi-Yau geometry. It includes a detailed discussion of the elliptic genus as an invariant which certain superconformal field theories share with the Calabi-Yau manifolds. K3 theories are (re)viewed as prime examples of superconformal field theories where geometric interpretations are known. A final snapshot addresses the K3-related Mathieu Moonshine phenomena, where a lead role is predicted for the chiral de Rham complex.

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  1. Tracking the symmetries of $\mathbb Z_3$-orbifold K3s within the Mathieu groups

    math.AG 2025-04 conditional novelty 7.0 of 10

    The holomorphic symplectic automorphism group of a Z3-orbifold K3 is (Z3)^2 ⋊ Z4, realized inside M12 and M24, and it combines with Kummer symmetries to generate M24.

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