On Superconformal Field Theories Associated to Very Attractive Quartics

Katrin Wendland ()
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Katrin Wendland: University of Warwick

A chapter in Frontiers in Number Theory, Physics, and Geometry II, 2007, pp 223-244 from Springer

Abstract: 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.

Keywords: Modulus Space; Quadratic Form; Geometric Interpretation; Elliptic Genus; Einstein Metrics (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-30308-4_5

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DOI: 10.1007/978-3-540-30308-4_5

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