Abstract
We compute the phase diagram of the simplest holographic bottom-up model of conformal interfaces. The model consists of a thin domain wall between three-dimensional Anti-de Sitter (AdS) vacua, anchored on a boundary circle. We distinguish five phases depending on the existence of a black hole, the intersection of its horizon with the wall, and the fate of inertial observers. We show that, like the Hawking-Page phase transition, the capture of the wall by the horizon is also a first order transition and comment on its field-theory interpretation. The static solutions of the domain-wall equations include gravitational avatars of the Faraday cage, black holes with negative specific heat, and an intriguing phenomenon of suspended vacuum bubbles corresponding to an exotic interface/anti-interface fusion. Part of our analysis overlaps with recent work by Simidzija and Van Raamsdonk but the interpretation is different.
Highlights
Begining with the classic paper of Coleman and De Lucia [1] there have been many studies of thin gravitating domain walls between vacua with different values of the cosmological constant
The model consists of a thin domain wall between three-dimensional Anti-de Sitter (AdS) vacua, anchored on a boundary circle
In this paper we study a thin static domain wall between Anti-de Sitter (AdS) vacua, anchored at the conformal boundary of spacetime
Summary
Begining with the classic paper of Coleman and De Lucia [1] there have been many studies of thin gravitating domain walls between vacua with different values of the cosmological constant. The capture of the wall by the black hole is related to a transition analyzed in a very interesting recent paper by Simidzija and Van Raamsdonk [29], see [30, 31] These authors consider time-dependent spherically-symmetric walls whose intersections with the conformal boundary describe Hamiltonian quenches in the dual field theory. This is surprising from the perspective of ICFT, since it implies that the fusion of an interface and anti-interface does not produce the trivial (identity) defect, as expected from free-field calculations [65], but an exotic defect that generates spontaneously a new scale. While doing this we will be setting notation and conventions
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