TL;DR
This paper constructs new holographic black hole solutions that exhibit spontaneous translational symmetry breaking, modeling phase transitions with striped phases in dual three-dimensional field theories at finite temperature.
Contribution
It introduces a numerical method to construct striped black holes in AdS4, revealing new second order phase transitions with broken translational symmetry in holography.
Findings
Black hole solutions with striped phases were successfully constructed.
These solutions exhibit second order phase transitions.
Thermodynamic properties of the solutions were analyzed.
Abstract
We discuss new types of second order phase transitions in holography by constructing striped black holes in D=4 with asymptotics. In the context of , they provide the gravity duals to field theory phases in which translational symmetry is spontaneously broken due to the formation of current density waves. These black holes are associated to three dimensional CFTs at finite temperature and deformed by a uniform chemical potential. We numerically solve a non-linear system of PDEs in order to construct the black hole geometries and extract some of their thermodynamic properties.
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