Renormalization Group Flows from Five-Dimensional Supergravity

Abstract

The use of gauged $\mathcal{N}=8$ supergravity as a tool in studying the AdS/CFT correspondence for $\mathcal{N}=4$ 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.

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

References in corpus (3)

• Modeling the fifth dimension with scalars and gravity
• Consistent nonlinear KK reduction of 11d supergravity on $Ad{S}_7\times S_4$ and self-duality in odd dimensions
• Non-conformal examples of AdS/CFT

Cited by in corpus (13)

• N=1 Supersymmetric Renormalization Group Flows from IIB Supergravity
• Critical behavior of charged black holes in Gauss-Bonnet gravity`s rainbow
• The Vacua of 5d,N=2 Gauged Yang-Mills/Einstein/Tensor Supergravity: Abelian Case
• Holographic, N=1 Supersymmetric RG Flows on M2 Branes
• A Class of N=1 Supersymmetric RG Flows from Five-dimensional N = 8 Supergravity
• Non-conformal examples of AdS/CFT
• Vaidya Spacetime in Massive Gravity's Rainbow
• Supersymmetric Charged Clouds in AdS_5
• Absorption by Double-Centered D3-Branes and the Coulomb Branch of N=4 SYM Theory
• Stable de Sitter vacua in N=2, D=5 supergravity
• Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow
• Rainbow Spacetime from a Nonlocal Gravitational Uncertainty Principle
• Gamma Ray Bursters and Black Holes in the Gravity's Rainbow