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Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity

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arxiv 0805.4216 v2 pith:2QI6CUXA submitted 2008-05-27 hep-th

Matthias R. Gaberdiel , Sergei Gukov , Christoph A. Keller , Gregory W. Moore , Hirosi Ooguri This is my paper · ORCID
classification hep-th
keywords constraintsconformalextremalfieldmodularitytheoriesaddressedads3
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We explore the constraints on the spectrum of primary fields implied by modularity of the elliptic genus of N=(2,2) 2D CFT's. We show that such constraints have nontrivial implications for the existence of "extremal" N=(2,2) conformal field theories. Applications to AdS3 supergravity and flux compactifications are addressed.

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Cited by 1 Pith paper

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  1. On the Symmetry of Odd Leech Lattice CFT

    hep-th 2024-12 accept novelty 7.0 of 10

    The M24 and M23 lattice symmetries of the odd Leech lattice do not lift to automorphisms of its lattice vertex operator algebra; the relevant group extensions are non-split.

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