Anatomy of two holographic renormalization group flows

We derive and solve a subset of the fluctuation equations about two domainwall solutions of D=5, N=8 gauged supergravity. One solution is dual to D=4,N=4 SYM theory perturbed by an N=1, SO(3)-invariant mass term and the other toa Coulomb branch deformation. In the first case we study all SO(3)-singletfields. These are assembled into bulk multiplets dual to the stress tensormultiplet and to the N=1 chiral multiplets Tr Phi^2 and Tr W^2, the formerplaying the role of anomaly multiplet. Each of these three multiplets has adistinct spectrum of "glueball" states. This behavior is contrasted with theCoulomb branch flow in which all fluctuations studied have a continuousspectrum above a common mass gap, and spontaneous breaking of conformalsymmetry is driven by a bulk vector multiplet. R-symmetry is preserved in thefield theory, and correspondingly the bulk vector is dual to a linear anomalymultiplet. Generic features of the fluctuation equations and solutions areemphasized. For example, the transverse traceless modes of all fields in thegraviton multiplet can be expressed in terms of an auxiliary massless scalar,and gauge fields associated with R-symmetry have a universal effective mass.Comment: 48 pages, no figures, LaTeX. v2: minor corrections, references added v3: version submitted to JHE