Renormalization Group Flows from Five-Dimensional Supergravity

Details Renormalization Group Flows from Five-Dimensional Supergravity Renormalization Group Flows from Five-Dimensional Supergravity

1999-11-29

arxiv.org/abs/hep-th/9911240v1

Class.Quant.Grav.17:1287-1297,2000

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 3 figures; Latex, ioplppt.sty, iopl12.sty, epsf.sty. Contribution to Strings `99

Scientific paper

10.1088/0264-9381/17/5/338

The use of gauged ${\cal N} = 8$ supergravity as a tool in studying the AdS/CFT correspondence for ${\cal N} = 4$ Yang-Mills theory is reviewed. The supergravity potential implies a non-trivial, supersymmetric IR fixed point, and the flow to this fixed point is described in terms of a supergravity kink. The results agree perfectly with earlier, independent field theory results. A supergravity inspired $c$-function, and corresponding $c$-theorem is discussed for general flows, and the simplified form for supersymmetric flows is also given. Flows along the Coulomb branch of the Yang-Mills theory are also described from the five-dimensional perspective.

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