# $R^2$ corrections to holographic Schwinger effect

## TL;DR

This paper investigates how $R^2$ (Gauss-Bonnet) corrections influence the holographic Schwinger effect in different backgrounds, revealing that increasing these corrections enhances pair production and relates to the shear viscosity to entropy density ratio.

## Contribution

It provides the first detailed analysis of $R^2$ corrections on the holographic Schwinger effect in both AdS black hole and confining D3-brane backgrounds.

## Key findings

- Gauss-Bonnet parameter increases enhance the Schwinger effect.
- Critical electric field values are derived for both backgrounds.
- Results connect the Schwinger effect to the shear viscosity to entropy ratio.

## Abstract

We study $R^2$ corrections to the holographic Schwinger effect in an AdS black hole background and a confining D3-brane background, respectively. The potential analysis for these backgrounds is presented. The critical values for the electric field are obtained. It is shown that for both backgrounds increasing the Gauss-Bonnet parameter the Schwinger effect is enhanced. Moreover, the results provide an estimate of how the Schwinger effect changes with the shear viscosity to entropy density ratio, $\eta/s$, at strong coupling.