Enhanced Gauge Symmetry in Three-Moduli Models of Type-II String and Hypergeometric Series

Details Enhanced Gauge Symmetry in Three-Moduli Models of Type-II String and Hypergeometric Series Enhanced Gauge Symmetry in Three-Moduli Models of Type-II String and Hypergeometric Series

1997-01-20

arxiv.org/abs/hep-th/9701094v1

Int.J.Mod.Phys. A12 (1997) 5123-5140

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex

Scientific paper

10.1142/S0217751X97002735

The conifold singularities in the type-II string are considered as the points of phase transition. In some cases, these singularities can be understood in the framework of the conventional fields theores as the points of enhanced gauge symmetry. We consider a class of three moduli Type-II strings. It is shown the periods can be written in the form of hypergeometric series around the singular points in these models. The leading expansion around the conifold locus turns out to be described by Appell functions. In one singular point, we observe the enhanced gauge symmetry of $SU(2)\times SU(2)$ independent of the models. Around another conifold locus, however, the resulting expression of the Appell functions depends on the models. We examine the result by considering a relation between these Appell functions and underlying Riemann surfaces.

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