N=1 and N=2 Super Yang-Mills theories from wrapped branes

Details N=1 and N=2 Super Yang-Mills theories from wrapped branes N=1 and N=2 Super Yang-Mills theories from wrapped branes

2002-05-20

arxiv.org/abs/hep-th/0205204v2

Nucl.Phys. B646 (2002) 43-68

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 30 pages; several references added

Scientific paper

10.1016/S0550-3213(02)00906-9

We consider supergravity solutions of D5 branes wrapped on supersymmetric 2-cycles and use them to discuss relevant features of four-dimensional N=1 and N=2 super Yang-Mills theories with gauge group SU(n). In particular in the N=1 case, using a gravitational dual of the gaugino condensate, we obtain the complete NSVZ beta-function. We also find non-perturbative corrections associated to fractional instantons with charge 2/n. These non-perturbative effects modify the running of the coupling constant which remains finite even at small scales in a way that resembles to the soft confinement scenario of QCD.

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