Non-conformal examples of AdS/CFT

TL;DR

This paper explores non-conformal examples within the AdS/CFT framework, analyzing five-dimensional supergravity solutions and their ten-dimensional extensions, revealing unique two-point function properties and proposing a gravitational c-theorem.

Contribution

It introduces non-conformal AdS/CFT examples constructed via five-dimensional supergravity and extends some to ten dimensions, providing new insights into their properties and a dimension-independent c-theorem.

Findings

Identification of non-conformal AdS/CFT solutions

Extension to ten-dimensional geometries with D3-branes

Discovery of peculiar two-point function behaviors

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.