A note on the dual of N=1 super Yang-Mills theory

Details A note on the dual of N=1 super Yang-Mills theory A note on the dual of N=1 super Yang-Mills theory

2002-11-15

arxiv.org/abs/hep-th/0211142v3

Phys.Lett. B556 (2003) 80-86

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex; minor changes and typos corrected

Scientific paper

10.1016/S0370-2693(03)00100-X

We refine the dictionary of the gauge/gravity correspondence realizing N=1 super Yang-Mills by means of D5-branes wrapped on a resolved Calabi-Yau space. This is done by fixing an ambiguity on the correct interpretation of the holographic dual of the running gauge coupling and amounts to identify a specific 2-cycle in the dual ten-dimensional supergravity background. In doing so, we also discuss the role played in this context by gauge transformations in the relevant seven-dimensional gauged supergravity. While all nice properties of the duality are maintained, this modification of the dictionary has some interesting physical consequences and solves a puzzle recently raised in the literature. In this refined framework, it is also straightforward to see how the correspondence naturally realizes a geometric transition.

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