Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories

Details Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories

2000-02-18

arxiv.org/abs/hep-th/0002159v2

Nucl.Phys.B578:123-138,2000

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, harvmac; v2: a section added on the full 3-brane solution (it looks like the conventional 3-brane solution with a lo

Scientific paper

10.1016/S0550-3213(00)00206-6

The world volume theory on N regular and M fractional D3-branes at the conifold singularity is a non-conformal n=1 supersymmetric SU(N+M) x SU(N) gauge theory. In previous work the Type IIB supergravity dual of this theory was constructed to leading non-trivial order in M/N: it is the AdS_5 x T^{1,1} background with NS-NS and R-R 2-form fields turned on. Far in the UV this dual description was shown to reproduce the logarithmic flow of couplings found in the field theory. In this paper we study the supersymmetric RG flow at all scales. We introduce an ansatz for the 10-d metric and other fields and show that the equations of motion may be derived in first order form from a simple superpotential. This allows us to explicitly solve for the gravity dual of the RG trajectory.

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