The domain-wall/QFT correspondence

TL;DR

The paper extends the AdS/CFT paradigm by formulating a domain-wall/QFT correspondence, where the low-energy dynamics on brane worldvolumes are captured by lower-dimensional gauged supergravities with domain-wall vacua. Using a dual-frame near-horizon analysis, the authors show that for p≠5 the geometry approaches $adS_{p+2}×S^{8-p}$ and identify a universal holographic energy scale via a radial coordinate u, connecting UV/IR behavior to boundary coupling evolution. They map specific brane cases (p=0,1,2,4,6) to explicit non-compact gauged supergravities (SO(9), SO(8), ISO(7), SO(5), SU(2)) and treat the p=5 (fivebrane) case as a domain-wall with linear dilaton, tied to D=7 SU(2)-gauged supergravity. Overall, the work proposes a broad holographic framework where QFTs on brane worldvolumes are encoded by bulk gauged supergravities, with R-symmetry matching gauge groups, and outlines future extensions to additional branes and gaugings.

Abstract

We extend the correspondence between adS-supergravities and superconformal field theories on the adS boundary to a correspondence between gauged supergravities (typically with non-compact gauge groups) and quantum field theories on domain walls.

Figures (1)

• Figure 1: Carter-Penrose diagram of anti-de Sitter spacetime. The diagonal lines are Killing horizons. The curved line is a horosphere.