Fermionic Response in Finite-Density ABJM Theory with Broken Symmetry

TL;DR

This paper investigates fermionic responses in finite-density ABJM theory with broken symmetry, revealing both gapped and gapless quasiparticle bands through holographic duality in supergravity backgrounds.

Contribution

It introduces a novel analysis of fermionic responses in domain wall backgrounds of supergravity, incorporating symmetry-breaking sources and mixing of charged and neutral fields.

Findings

Identification of stable gapped quasiparticle bands

Discovery of gapless quasiparticle bands

Analysis of fermionic responses in symmetry-broken holographic states

Abstract

We calculate fermionic response in domain wall backgrounds of four-dimensional gauged supergravity interpolating between distinct stable AdS vacua. The backgrounds, found by Bobev et al., are holographically dual to zero-temperature states of ABJM theory at finite density for monopole charge and are similar to zero-temperature limits of holographic superconductors, but with a symmetry-breaking source as well. The condensed scalar mixes charged and neutral fields dual to composite fermionic operators in the Dirac equations. Both gapped and gapless bands of stable quasiparticles are found.