Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-01-12
Nucl.Phys. B518 (1998) 603-631
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 26 pages. Acknowledgements added
Scientific paper
10.1016/S0550-3213(98)00185-0
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.
Curio Gottfried
Donagi Ron Y.
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