Moduli in N=1 heterotic/F-theory duality

Gottfried Curio; Ron Y. Donagi

doi:10.1016/s0550-3213(98)00185-0

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arXiv · hep-th/9801057

Moduli in N=1 heterotic/F-theory duality

Gottfried Curio·Ron Y. Donagi

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Abstract

The moduli in a 4D N=1 heterotic compactification on an elliptic CY, as well as in the dual F-theoretic compactification, break into "base" parameters which are even (under the natural involution of the elliptic curves), and "fiber" or twisting parameters; the latter include a continuous part which is odd, as well as a discrete part. We interpret all the heterotic moduli in terms of cohomology groups of the spectral covers, and identify them with the corresponding F-theoretic moduli in a certain stable degeneration. The argument is based on the comparison of three geometric objects: the spectral and cameral covers and the ADE del Pezzo fibrations. For the continuous part of the twisting moduli, this amounts to an isomorphism between certain abelian varieties: the connected component of the heterotic Prym variety (a modified Jacobian) and the F-theoretic intermediate Jacobian. The comparison of the discrete part generalizes the matching of heterotic 5brane / F-theoretic 3brane impurities.

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Gottfried Curio, Ron Y. Donagi. 1998-01-14. Moduli in N=1 heterotic/F-theory duality. https://doi.org/10.1016/s0550-3213(98)00185-0

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