Confining Phase Superpotentials for SO/Sp Gauge Theories via Geometric Transition

Details Confining Phase Superpotentials for SO/Sp Gauge Theories via Geometric Transition Confining Phase Superpotentials for SO/Sp Gauge Theories via Geometric Transition

2002-05-30

arxiv.org/abs/hep-th/0205301v4

JHEP 0302 (2003) 028

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 2 figures, Latex; v3, references added; v4, Explanation for orbifolding was slightly modified

Scientific paper

10.1088/1126-6708/2003/02/028

We examine a large N duality via geometric transition for N=1 SO/Sp gauge theories with superpotential for adjoint chiral superfield. In this paper, we find that the large N gauge theories are exactly analyzed for the classical quartic superpotentials by the finite rank SO/Sp gauge theories. With this classical superpotentials, we evaluate the confining phase superpotentials using the Seiberg-Witten theory. In the dual theory, we calculate the superpotential generated by the R-R and NS-NS 3-form fluxes. As the non-trivial examples, we discuss for SO(6), SO(8) and Sp(4) gauge theories. In these cases we have the perfect agreement of the confining phase superpotentials up to the 4th order of the glueball superfields.

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