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

Abstract

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.

Latex file, 30 pages; several references added

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• On the Gauge/Gravity Correspondence and the Open/Closed String Duality
• Supergravity Duals of Noncommutative Wrapped D6 Branes and Supersymmetry without Supersymmetry
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• On the glueball spectrum of walking backgrounds from wrapped-D5 gravity duals
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
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• The Stringy Instanton Partition Function
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• The chiral anomaly from M theory
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• Non-perturbative gauge superpotentials from supergravity
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• On the Universality of the Chern-Simons Diffusion Rate
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• Green Functions of N=1 SYM and Radial/Energy-Scale Relation
• Gravity duals of 2d supersymmetric gauge theories
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• N=1 Super Yang-Mills Domain Walls via The Extended Veneziano Yankielowicz Theory
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• Non-perturbative physics of N=1 super Yang-Mills theories
• Non conformal gauge theories from D branes
• An SL(2,R)-covariant, first order, k-supersymmetric action for the D5-brane
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• N=1 gauge superpotentials from supergravity
• The Gravity dual of the Non-Perturbative $N=2$ SUSY Yang-Mills Theory
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