Thermodynamic phase transitions from dynamical compact dimensions

TL;DR

This paper investigates the thermal properties of a spacetime with an expanding compact dimension derived from a double quotient of AdS4, revealing a time-dependent transition in the dual CFT's thermal behavior.

Contribution

It introduces a novel spacetime with an expanding compact dimension and analyzes its thermal and entanglement properties over time.

Findings

Thermal properties vanish after a critical time in the dual CFT.

Critical time depends on expansion rate, especially for rapid expansion.

Expanding compact dimension affects the dual CFT's entanglement dynamics.

Abstract

We perform a double quotient of global AdS$_4$ and study its thermal properties. We find that a double quotient yields a spacetime with an expanding compact dimension. Studying the entanglement of the dual CFT we find that, at early times, the spacetime has thermal properties which disappear after a critical time. For slow expansion, this critical time depends on the expansion rate as expected, but becomes much more sensitive with more rapid expansion rates.