Baryon vertices in AdS black hole backgrounds

TL;DR

This paper numerically analyzes baryon vertices in AdS black hole backgrounds, revealing negative vertex energies in certain gauge theories and zero in others, enhancing understanding of QCD string junctions.

Contribution

It introduces a numerical method to compute baryon vertex energies in various AdS black hole backgrounds, providing new insights into their behavior in non-supersymmetric gauge theories.

Findings

Negative vertex energy in 3D and 4D Yang-Mills theories

Zero vertex energy in 5D theory

Method for extracting baryon vertex contributions

Abstract

We numerically computed the energy of QCD string junctions in non-supersymmetric SU(N) gauge theories as the energy of brane configurations in the background of AdS black hole solutions, and extracted the contribution of baryon vertices. We obtain a negative vertex energy for the three- and four-dimensional Yang-Mills theories and a vanishing vertex energy for the five-dimensional theory.