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arXiv · 1802.02580

Interactions resolve state-dependence in a toy-model of AdS black holes

Adam Bzowski·Alessandra Gnecchi·Thomas Hertog
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Abstract

We show that the holographic description of a class of AdS black holes with scalar hair involves dual field theories with a double well effective potential. Black hole microstates have significant support around both vacua in the dual, which correspond to perturbative degrees of freedom on opposite sides of the horizon. A solvable toy-model version of this dual is given by a quantum mechanical particle in a double well potential. In this we show explicitly that the interactions replace the state-dependence that is needed to describe black hole microstates in a low energy effective model involving the tensor product of two decoupled harmonic oscillators. A naive number operator signals the presence of a firewall but a careful construction of perturbative states and operators extinguishes this.

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Adam Bzowski, Alessandra Gnecchi, Thomas Hertog. 2018-02-07. Interactions resolve state-dependence in a toy-model of AdS black holes. https://doi.org/10.1007/jhep06(2018)167

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