Non-conformal examples of AdS/CFT

Abstract

Asymptotically anti-de Sitter spacetimes with Poincare invariance along the boundary can describe, via the AdS/CFT correspondence, either relevant deformations of a conformal field theory or non-conformal vacuum states. I consider examples of both types constructed in the framework of five-dimensional gauged supergravity. I explain the proof and motivation of a gravitational ``c-theorem'' which is independent of dimension. I show how one class of examples can be elevated to ten-dimensional geometries involving distributions of parallel D3-branes. For these cases some peculiar properties of two-point functions emerge, and I close with speculations on their physical origin.

16 pages, two figures, latex. Strings '99 talk

References in corpus (6)

• Modeling the fifth dimension with scalars and gravity
• Symmetric Potentials of Gauged Supergravities in Diverse Dimensions and Coulomb Branch of Gauge Theories
• States and Curves of Five-Dimensional Gauged Supergravity
• D3-brane shells to black branes on the Coulomb branch
• A note on correlation functions in AdS_5/SYM_4 correspondence on the Coulomb branch
• Renormalization Group Flows from Five-Dimensional Supergravity

Cited by in corpus (19)

• Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
• General matter coupled N=2, D=5 gauged supergravity
• N=1 Supersymmetric Renormalization Group Flows from IIB Supergravity
• On the Trace Anomaly as a Measure of Degrees of Freedom
• Exact Consequences of the Trace Anomaly in Four Dimensions
• A note on gravity-scalar fluctuations in holographic RG flow geometries
• Holographic Nuclei
• Renormalization Group Flows on D3 branes at an Orbifolded Conifold
• Orbifold Physics and de Sitter Spacetime
• Absorption by Double-Centered D3-Branes and the Coulomb Branch of N=4 SYM Theory
• Renormalization Group Flows from Five-Dimensional Supergravity
• A Test of the AdS/CFT Duality on the Coulomb Branch
• BPS equations in N=2, D=5 supergravity with hypermultiplets
• dS/CFT Correspondence in Two Dimensions
• Null Deformed Domain Wall
• Supersymmetric domain walls in 7D maximal gauged supergravity
• Note on Holographic RG Flow in String Cosmology
• Two-dimensional SCFTs from matter-coupled 7D N=2 gauged supergravity
• Forms on Vector Bundles Over Hyperbolic Manifolds and the Conformal Anomaly