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On Superconformal Field Theories Associated to Very Attractive Quartics

In: Frontiers in Number Theory, Physics, and Geometry II

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  • Katrin Wendland

    (University of Warwick
    Universitaet Augsburg, Institut fuer Mathematik, Lehrstuhl fuer Analysis und Geometrie)

Abstract

We study N = (4, 4) superconformal field theories with left and right central charge c = 6 which allow geometric interpretations on specific quartic hypersurfaces in CP3. Namely, we recall the proof that the Gepner model (2)4 admits a geometric interpretation on the Fermat quartic and give an independent crosscheck of this result, providing a link to the “mirror moonshine phenomenon” on K3. We clarify the rôole of Shioda-Inose structures in our proof and thereby generalize it: We introduce very attractive quartics and show how on each of them a superconformal field theory can be constructed explicitly.

Suggested Citation

  • Katrin Wendland, 2007. "On Superconformal Field Theories Associated to Very Attractive Quartics," Springer Books, in: Pierre Cartier & Pierre Moussa & Bernard Julia & Pierre Vanhove (ed.), Frontiers in Number Theory, Physics, and Geometry II, pages 223-244, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-30308-4_5
    DOI: 10.1007/978-3-540-30308-4_5
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