Stability issues with baryons in AdS/CFT

TL;DR

This paper investigates the stability of baryon configurations in the AdS/CFT correspondence, identifying critical sizes and quark numbers where these states become unstable, with implications for finite temperature and magnetic charges.

Contribution

It provides a detailed stability analysis of baryon vertices in curved backgrounds, including finite temperature and magnetic charge cases, revealing critical parameters for stability.

Findings

Baryon states become unstable below a critical quark number k.

Instability occurs when baryons reach a critical size.

Magnetically charged baryon vertices are also analyzed.

Abstract

We consider baryon vertices within the gauge/gravity correspondence for a class of curved backgrounds. The holographic description based on the N=4 SYM theory for SU(N) allows classical solutions representing bound states of k-quarks with k less than or equal to N. We construct the corresponding classical configurations and perform a stability analysis. We present the details for the theory at the conformal point and at finite temperature and show that there is a critical value of k, below which there is instability. This may also arise when the baryon reaches a critical size. We also extend our treatment to magnetically charged baryon vertices.