holographic superconductor in AdS3 spacetime

TL;DR

This paper explores various models of holographic s-wave superconductors in AdS3 spacetime, analyzing their properties using different electrodynamics frameworks and solving their equations analytically.

Contribution

It provides an analytical study of holographic superconductors in AdS3, including models with Maxwell, Born-Infeld, and St"uckelberg electrodynamics.

Findings

Analytical solutions for superconductor models with Maxwell electrodynamics.

Extension of models to Born-Infeld and St"uckelberg frameworks.

Insights into characteristic roots of the equations in AdS3 spacetime.

Abstract

We do more discussions of holographic s-wave superconductors in the background of AdS3 spacetime. We analytically compute the holographic superconductor model with the motion equation has two different characteristic root on the framework of Maxwell electrodynamics field. We study superconductor models on the framework of Born-Infeld electrodynamics field and on the framework of the St\"uckelberg form in the background of AdS3 spacetime.