Geometric Dual and Matrix Theory for $SO/Sp$ Gauge Theories

Details Geometric Dual and Matrix Theory for $SO/Sp$ Gauge Theories Geometric Dual and Matrix Theory for $SO/Sp$ Gauge Theories

2002-12-02

arxiv.org/abs/hep-th/0212010v3

Nucl.Phys.B661:113-138,2003

Physics

High Energy Physics

High Energy Physics - Theory

Journal vertion. More typo fixed. Section four rewritten

Scientific paper

In this paper, we give a proof of the equivalence of ${\cal N}=1$ $SO/Sp$ gauge theories deformed from ${\cal N}=2$ by the superpotential of adjoint field $\Phi$, the dual type IIB superstring theory on CY threefold geometries with fluxes and orientifold action after geometric transition. Furthermore, by relating the geometric picture to the matrix model, we show the equivalence between the field theory and the corresponding matrix model.

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