Gauge/Gravity Duality, Green Functions of N=2 SYM and Radial/Energy-Scale Relation

Abstract

We consider supergravity configuration of D5 branes wrapped on supersymmetric 2-cycles and use it to calculate one-point and two-point Green functions of some special operators in N=2 super Yang-Mills theory. We show that Green functions obtained from supergravity include two very different parts. One of them corresponds to perturbative results of quantum field theory, and another is a non-perturbative effect which corresponds to contribution from instantons with fractional charge. Comparing Green functions obtained from supergravity and gauge theory, we obtain radial/energy-scale relation for this gauge/gravity correspondence with N=2 supersymmetry. This relation leads right beta-function of N=2 SYM from supergravity configuration.

Latex file, 12 pages, no figures, use JHEP3.cls

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Cited by in corpus (3)

• Perturbative and non-perturbative aspects of pure N=1 super Yang-Mills theory from wrapped branes
• Non Supersymmetric Regular Solutions from Wrapped and Fractional Branes
• Green Functions of N=1 SYM and Radial/Energy-Scale Relation