On Domain-Wall/QFT Dualities in Various Dimensions

TL;DR

This work extends the AdS/CFT paradigm by formulating domain-wall/quantum field theory (DW/QFT) dualities for general two-block $p$-brane near-horizon geometries in varied dimensions. In the dual frame, all such near-horizon spacetimes factorize into a domain-wall spacetime $DW_{d+1}$ times a sphere, with a linear dilaton that encodes running couplings and breaks pure AdS isometries. By reducing over the sphere, the authors obtain lower-dimensional DW theories with positive cosmological constants and relate these to boundary QFTs, identifying a well-behaved subset of branes (notably D$p$-branes in $D=10$ reduced over relative transverse directions) where the duality is well-defined and the near-horizon geometry remains finite in the field-theory limit. The paper also analyzes explicit ten- and six-dimensional brane examples, the quantum mechanics of 0-branes (including conformal structures and connections to Calogero models), and discusses a new Type I/Heterotic 6-brane, highlighting both the utility and limits of DW/QFT dualities. Overall, this work broadens holographic dualities beyond AdS and provides a framework for exploring DW/QFT correspondences across dimensions and brane configurations.

Abstract

We investigate domain-wall/quantum field theory correspondences in various dimensions. Our general analysis does not only cover the well-studied cases in ten and eleven dimensions but also enables us to discuss new cases like a Type I/Heterotic 6-brane in ten dimensions and domain wall dualities in lower than ten dimensions. The examples we discuss include `d-branes' in six dimensions preserving 8 supersymmetries and extreme black holes in various dimensions. In the latter case we construct the quantum mechanics Hamiltonian and discuss several limits.