Massless fermionic bound states and the gauge/gravity correspondence

TL;DR

This paper investigates fermionic equations in type IIB supergravity within the gauge/gravity framework, aiming to identify normalizable massless fermionic modes that correspond to composite particles in the dual field theory.

Contribution

It explicitly constructs the fermionic superpartner of the Goldstone mode in the Klebanov--Strassler background, advancing the understanding of fermionic zero modes in holographic models.

Findings

Constructed the fermionic superpartner of the Goldstone mode.

Provided a method to search for goldstinos in supersymmetry-breaking scenarios.

Analyzed fermionic equations in specific supergravity backgrounds.

Abstract

We study the equations of motion of fermions in type IIB supergravity in the context of the gauge/gravity correspondence. The main motivation is the search for normalizable fermionic zero modes in such backgrounds, to be interpreted as composite massless fermions in the dual theory. We specialize to backgrounds characterized by a constant dilaton and a self-dual three-form. In the specific case of the Klebanov--Strassler solution we construct explicitly the fermionic superpartner of the Goldstone mode associated with the broken baryonic symmetry. The fermionic equations could also be used to search for goldstinos in theories that break supersymmetry dynamically.