# Holographic superconductor from a non-commutative inspired anti-de Sitter-Einstein-Born-Infeld black hole

## TL;DR

This paper investigates a holographic superconductor model using a noncommutative inspired AdS-Einstein-Born-Infeld black hole, revealing how noncommutativity and nonlinear electrodynamics influence superconducting properties within the AdS/CFT framework.

## Contribution

It introduces a novel holographic superconductor model based on a noncommutative inspired black hole with Born-Infeld electrodynamics, analyzing the effects of noncommutativity and nonlinearity.

## Key findings

- Noncommutativity enhances the condensate expectation value.
- Noncommutativity counteracts electrodynamics nonlinearity.
- The ratio A8g/Tc remains approximately 8 despite modifications.

## Abstract

Using a noncommutative inspired anti-de Sitter-Einstein-Born-Infeld black hole with both non-commutative mass and charge distributions, we analyse a holographic superconductor in the context of the AdS/CFT correspondence. We show that the coupling of the Born-Infeld parameter and the noncommutative perturbations provides an enhancing mechanism for higher values of the expectation value of the condensate and that noncommutativity counter-balances nonlinearity of the electrodynamics to keep the ratio $\omega_g/T_c \approx 8$.