Non-supersymmetric deformations of the AdS/CFT correspondence

Abstract

We study non-supersymmetric deformations of the AdS/CFT Correspondence. We begin with an unbounded scalar mass deformation of the N = 4 theory. We discuss the behaviour of the dual 5 dimensional supergravity field then lift the full solution to 10 dimensions. Brane probing the resulting background reveals a potential consistent with the operator we wished to insert.  We then study non-supersymmetric fermion mass and condensate deformations of the AdS/CFT Correspondence.  The 5 dimensional supergravity flows are lifted to a complete and remarkably simple 10 dimensional background. A brane probe analysis shows that when all the fermions have an equal mass a positive mass is generated for all six scalar fields leaving pure Yang Mills in the deep infra-red. We call this theory Yang-Mills*. For a condensate deformation the geometry describes an unstable supergravity background around a fuzzy 5-brane.  We proceed to investigate various aspects of the Yang-Mills* field theory from the perspective of the supergravity dual.  A Wilson loop calculation shows there is a maximum separation of quark-antiquark pairs.  This behaviour suggests string breaking, which has not been seen in other dualities.  We calculate the glueball mass spectrum in Yang Mills* and N = 1* gravity duals.  The results agree at the 10% level with previous computations in AdS-Schwarzchild and Klebanov-Strassler backgrounds respectively.  We also calculate the spectrums of bound states of massive fermions.

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