N=1 Super Yang Mills renormalization schemes for Fractional Branes

Details N=1 Super Yang Mills renormalization schemes for Fractional Branes N=1 Super Yang Mills renormalization schemes for Fractional Branes

2002-07-18

arxiv.org/abs/hep-th/0207163v2

Phys.Lett. B545 (2002) 162-168

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, revtex4, no figures. Corrected typos and added some clarifications

Scientific paper

10.1016/S0370-2693(02)02592-3

We investigate N=1 super Yang-Mills theory using fractional branes. We first define the beta-function with respect to a supergravity coordinate. To provide the relation between the supergravity parameter and the renormalization group scale we use the UV known gauge theory beta-function as a type of boundary condition. We show that there are no privileged renormalization schemes connected to a given supergravity solution while we investigate in some detail two schemes. The Wilsonian one where just one loop is manifest and the one containing multi-loops. A new functional relation between the gaugino condensate and the supergravity coordinates is finally determined.

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