Model Independent Tests of Skyrmions and Their Holographic Cousins

TL;DR

This paper introduces a new exact, model-independent relation for large N_c QCD baryon form factors in the chiral limit, used to test various baryon models' consistency, revealing some models satisfy it while others do not.

Contribution

It presents a novel exact relation for baryon form factors in large N_c QCD and applies it to evaluate the consistency of different baryon models, including holographic ones.

Findings

All 4D semiclassical chiral soliton models satisfy the relation.

The Pomarol-Wulzer holographic model satisfies the relation.

The Sakai-Sugimoto instanton model does not satisfy the relation.

Abstract

We describe a new exact relation for large $N_c$ QCD for the long-distance behavior of baryon form factors in the chiral limit. This model-independent relation is used to test the consistency of the structure of several baryon models. All 4D semiclassical chiral soliton models satisfy the relation, as does the Pomarol-Wulzer holographic model of baryons as 5D Skyrmions. However, remarkably, we find that the holographic model treating baryons as instantons in the Sakai-Sugimoto model does not satisfy the relation.