AdS-Flows and Weyl Gravity

Abstract

An analogy is noted between RG flow equations in 4-dimensional gauge theory, as derived from the AdS/CFT correspondence, and the RG flow equations in 4-dimensional field theory coupled to a particular limit of Weyl supergravity. This suggests a possible theory of dynamical 3-branes with fluctuating 4-dimensional conformal factor. The argument involves a map from flows in 4-dimensional gauge theories to flows in a class of 2-dimensional sigma models.

25 pages Latex; some comments, references added

References in corpus (3)

• On the Holographic Renormalization Group
• Instantons and scattering in N=4 SYM in 4D
• Probing AdS/CFT correspondence via world-sheet methods and 2d gravity like scaling arguments

Cited by in corpus (11)

• Four Dimensional Conformal Supergravity From AdS Space
• Domain walls in five dimensional supergravity with non-trivial hypermultiplets
• The Holographic Geometry of the Renormalization Group and Higher Spin Symmetries
• A Note On Relation Between Holographic RG Equation And Polchinski's RG Equation
• The Exact Renormalization Group and Higher-spin Holography
• Renormalization Group Flows on D3 branes at an Orbifolded Conifold
• Consistency Conditions for Holographic Duality
• Higher Spin Fronsdal Equations from the Exact Renormalization Group
• On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
• Actions for Curved Branes
• Exact renormalization flow and domain walls from holography