Prepotentials, Bi-linear Forms on Periods and Enhanced Gauge Symmetries in Type-II Strings

Details Prepotentials, Bi-linear Forms on Periods and Enhanced Gauge Symmetries in Type-II Strings Prepotentials, Bi-linear Forms on Periods and Enhanced Gauge Symmetries in Type-II Strings

1998-07-09

arxiv.org/abs/hep-th/9807062v4

Int.J.Mod.Phys. A14 (1999) 1177-1204

Physics

High Energy Physics

High Energy Physics - Theory

Latex file(34pp), a reference added, typos corrected

Scientific paper

10.1142/S0217751X99000610

We construct a bi-linear form on the periods of Calabi-Yau spaces. These are used to obtain the prepotentials around conifold singularities in type-II strings compactified on Calabi-Yau space. The explicit construction of the bi-linear forms is achieved for the one-moduli models as well as two moduli models with K3-fibrations where the enhanced gauge symmetry is known to be observed at conifold locus. We also show how these bi-linear forms are related with the existence of flat coordinates. We list the resulting prepotentials in two moduli models around the conifold locus, which contains alpha' corrections of 4-D N=2 SUSY SU(2) Yang-Mills theory as the stringy effect.

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