N=2 supergravity, type IIB superstrings, and algebraic geometry

Details N=2 supergravity, type IIB superstrings, and algebraic geometry N=2 supergravity, type IIB superstrings, and algebraic geometry

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cmaph.131..517c&link_type=abstract

Communications in Mathematical Physics, Volume 131, Issue 3, pp.517-536

Mathematics

Mathematical Physics

14

Scientific paper

The geometry of N=2 supergravity is related to the variations of Hodge structure for “formal” Calabi-Yau spaces. All known results in this branch of algebraic geometry are easily recovered from supersymmetry arguments. This identification has a physical meaning for a type IIB superstring compactified on a Calabi-Yau 3-fold. We give exact (non-perturbative) results for the string effective lagrangian. Our geometrical framework suggests a re-formulation of the Gepner conjecture about (2,2) superconformal theories as the solution to the Schottky problem for algebraic complex manifolds having trivial canonical bundle.

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