2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218840We 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.v1: 22 Pages, 4 figures; v2: A reference corrected and a reference addedHigh Energy Physics - Theorytext