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arXiv · hep-th/0207145

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

Xiao-Jun Wang·Seng Hu
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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.

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Xiao-Jun Wang, Seng Hu. 2002-07-19. Gauge/Gravity Duality, Green Functions of N=2 SYM and Radial/Energy-Scale Relation. https://doi.org/10.1088/1126-6708%2F2002%2F10%2F005

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