Quantum Solitons

TL;DR

This paper constructs and analyzes quantum backreacted geometries in AdS$_3$ using brane models, revealing new solutions with distinct thermodynamic properties related to thermal CFT states.

Contribution

It introduces novel quantum soliton solutions in AdS$_3$ derived from brane constructions, extending previous quantum BTZ studies.

Findings

Solutions with negative mass represent thermal CFT backreaction on AdS$_3$.

Positive mass solutions feature a horizon that becomes a smooth origin after backreaction.

The thermodynamics and first law are studied within a two-brane setup.

Abstract

We construct geometries describing the quantum backreaction of thermal fields in AdS$_3$. The solutions are obtained from branes in a four-dimensional AdS C-metric. They can be viewed as solutions of the semiclassical effective theory on the brane, which couples three-dimensional gravity to the CFT dual to the four-dimensional bulk. This brane construction is related by a double analytic continuation to earlier studies of quantum BTZ solutions. There are two families of solutions, labelled by the asymptotic mass. Solutions with negative mass correspond to the back-reaction of a thermal CFT state on global AdS$_3$. Solutions with positive mass have a horizon for zero back-reaction, which is replaced by a smooth origin in the back-reacted solution. We study the thermodynamics and first law on the brane, which we argue is realised in a two-brane setup where we include both the quantum BTZ brane and our quantum soliton brane.