Physics – High Energy Physics – High Energy Physics - Theory

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2000-09-20

JHEP 0101:021,2001

Physics

High Energy Physics

High Energy Physics - Theory

48 pages, no figures, LaTeX. v2: minor corrections, references added v3: version submitted to JHEP

Scientific paper

10.1088/1126-6708/2001/01/021

We derive and solve a subset of the fluctuation equations about two domain wall 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 to a Coulomb branch deformation. In the first case we study all SO(3)-singlet fields. These are assembled into bulk multiplets dual to the stress tensor multiplet and to the N=1 chiral multiplets Tr Phi^2 and Tr W^2, the former playing the role of anomaly multiplet. Each of these three multiplets has a distinct spectrum of "glueball" states. This behavior is contrasted with the Coulomb branch flow in which all fluctuations studied have a continuous spectrum above a common mass gap, and spontaneous breaking of conformal symmetry is driven by a bulk vector multiplet. R-symmetry is preserved in the field theory, and correspondingly the bulk vector is dual to a linear anomaly multiplet. Generic features of the fluctuation equations and solutions are emphasized. For example, the transverse traceless modes of all fields in the graviton multiplet can be expressed in terms of an auxiliary massless scalar, and gauge fields associated with R-symmetry have a universal effective mass.

**Bianchi Massimo**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

**DeWolfe Oliver**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

**Freedman Daniel Z.**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

**Pilch Krzysztof**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

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