Extensions of the AdS/CFT correspondence

Abstract

This thesis discusses several examples of deformations of the AdS/CFT correspondence and a direct proposal N = 4 SYM is first studied on the Coulomb branch, where we find a simple parametrization of gauge theory operators in the corresponding gravity solution. Next we consider N = 4 SYM where a supersymmetric mass term is added to give a low energy N = 2 SYM. We try to make similar interpretations here, but find there is some difficulty in the interpretation of ultraviolet renormalization. Then a setup of wrapped branes is found to give a pure N = 2 SYM theory in the infrared. The operator parameterization works well in this case. In these N = 2 theories, we use a gauge theory result for the coupling to deduce the distribution of D branes in the transverse space. Finally a non-supersymmetric mass term is added to produce a more QCD like theory. The scalars are all given a mass which leaves pure glue in the infrared, and we successfully find an explicit dual that is consistent.

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