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arXiv · 2604.05026

Quantum Solitons

Robie A. Hennigar·Ayan K. Patra·Simon F. Ross
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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.

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Robie A. Hennigar, Ayan K. Patra, Simon F. Ross. 2026-04-06. Quantum Solitons. https://arxiv.org/abs/2604.05026

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