Warped AdS3/Dipole-CFT Duality

TL;DR

This paper explores a proposed holographic duality between warped AdS3 geometries in string theory and nonlocal dipole-deformed 2D D-brane gauge theories, investigating their properties and implications.

Contribution

It introduces a new duality between warped AdS3 solutions and dipole CFTs, analyzing their entropy and nonlocal features.

Findings

Dipole CFTs have a high-energy density of states independent of deformation.

Bulk geometries exhibit closed timelike curves when boundary theories are on a circle.

The duality links warped AdS3 solutions to nonlocal gauge theories.

Abstract

String theory contains solutions with SL(2,R)_R x U(1)_L-invariant warped AdS3 (WAdS3) factors arising as continuous deformations of ordinary AdS3 factors. We propose that some of these are holographically dual to the IR limits of nonlocal dipole-deformed 2D D-brane gauge theories, referred to as "dipole CFTs". Neither the bulk nor boundary theories are currently well-understood, and consequences of the proposed duality for both sides is investigated. The bulk entropy-area law suggests that dipole CFTs have (at large N) a high-energy density of states which does not depend on the deformation parameter. Putting the boundary theory on a spatial circle leads to closed timelike curves in the bulk, suggesting a relation of the latter to dipole-type nonlocality.