# Fermionic spectrum from a domain wall in five dimensions

## TL;DR

This paper investigates fermionic behavior in a five-dimensional supergravity domain wall background, revealing that dual four-dimensional fermionic operators with small charges exhibit a gapped spectrum, akin to a zero-temperature holographic superconductor.

## Contribution

It introduces a study of fermionic spectra in a five-dimensional supergravity domain wall, highlighting the gapped spectrum for small charges in the dual theory, a novel insight into holographic fermions.

## Key findings

- Fermionic operators with small charges have a gapped spectrum.
- The background resembles a zero-temperature holographic superconductor.
- The study connects five-dimensional supergravity to four-dimensional fermionic properties.

## Abstract

We study fermions in a domain wall backgrounds in five dimensional supergravity, which is similar to zero temperature limit of holographic superconductor. We find the fermionic operators for small charges in the dual four dimensional theory have gapped spectrum.