What is the dual of a dipole?

TL;DR

This paper investigates gravitational solutions with non-zero dipole charge in AdS_3 x S^3, analyzing their dual CFT descriptions, one-point functions, and thermodynamics of small black rings.

Contribution

It introduces a detailed analysis of black ring solutions with dipole charge and connects their properties to dual CFT predictions, including a simple thermodynamic toy model.

Findings

Large N and J dependence of one-point functions matches CFT ensemble predictions

Derived one-point functions for scalar excitations in the dual CFT

Presented a toy model for black ring thermodynamics with arbitrary dipole charge

Abstract

We study gravitational solutions that admit a dual CFT description and carry non zero dipole charge. We focus on the black ring solution in AdS_3 x S^3 and extract from it the one-point functions of all CFT operators dual to scalar excitations of the six-dimensional metric. In the case of small black rings, characterized by the level N, angular momentum J and dipole charge q_3, we show how the large N and J dependence of the one-point functions can be reproduced, under certain assumptions, directly from a suitable ensemble in the dual CFT. Finally we present a simple toy model that describes the thermodynamics of the small black ring for arbitrary values of the dipole charge.