Gravity duals of supersymmetric SU(N) x SU(N + M) gauge theories

The world volume theory on N regular and M fractional D3-branes at the coni fold 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 theor y was constructed to leading non-trivial order in MIN: it is the AdS(5) x T -1,T-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 coupl ings found in the field theory. In this paper we study the supersymmetric R G 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 t he gravity dual of the RG trajectory. (C) 2000 Elsevier Science B.V. All ri ghts reserved.