Holographic superconductor developed in BTZ black hole background with backreactions

TL;DR

This paper constructs a holographic superconductor model within a BTZ black hole background considering backreactions, analyzing how backreaction affects scalar condensation and perturbation dynamics, and clarifying operator roles near the Breitenlohner-Freedman bound.

Contribution

It introduces a holographic superconductor model with backreactions in BTZ spacetime, highlighting the impact on scalar hair condensation and operator selection near stability bounds.

Findings

Backreaction influences scalar hair condensation.

Only one operator reflects true condensation near the Breitenlohner-Freedman bound.

Dynamics support the operator selection argument.

Abstract

We develop a holographic superconductor in BTZ black hole background with backreactions. We investigate the influence of the backreaction on the condensation of the scalar hair and the dynamics of perturbation in the background spacetime. When the Breitenlohner-Freedman bound is approached, we argue that only one of two possible operators can reflect the real property of the condensation in the holographic superconductor. This argument is supported by the investigation in dynamics.