Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-01-20
Fortsch.Phys. 47 (1999) 133-139
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, latex, no figures; to appear in the proceedings of "Quantum aspects of gauge theories, supersymmetry and unification"
Scientific paper
We discuss, in the framework of special Kahler geometry, some aspects of the "rigid limit" of type IIB string theory compactified on a Calabi-Yau threefold. We outline the general idea and demonstrate by direct analysis of a specific example how this limit is obtained. The decoupling of gravity and the reduction of special Kahler geometry from local to rigid is demonstrated explicitly, without first going to a noncompact approximation of the Calabi-Yau. In doing so, we obtain the Seiberg-Witten Riemann surfaces corresponding to different rigid limits as degenerating branches of a higher genus Riemann surface, defined for all values of the moduli. Apart from giving a nice geometrical picture, this allows one to calculate easily some gravitational corrections to e.g. the Seiberg-Witten central charge formula. We make some connections to the 2/5-brane picture, also away from the rigid limit, though only at the formal level.
Billo' Marco
Denef Frederik
Fre' Pietro
Pesando Igor
Proeyen Antoine Van
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