Baryons with D5 Brane Vertex and k-Quarks

TL;DR

This paper investigates baryon configurations in SU(N) gauge theories using IIB string theory, revealing point- and split-type vertices, flux structures, and stable k-quark baryons at finite temperature.

Contribution

It introduces new baryon vertex configurations with flux structures and demonstrates the existence of stable k-quark baryons in deconfining phases.

Findings

Point- and split-type baryon vertices identified.

Flux structures connecting cusps of the vertex.

Stable k-quark baryons exist at finite temperature.

Abstract

We study baryons in SU(N) gauge theories, according to the gauge/string correspondence based on IIB string theory. The D5 brane, in which $N$ fundamental strings are dissolved as a color singlet, is introduced as the baryon vertex, and its configurations are studied. We find point- and split-type of vertex. In the latter case, two cusps appears and they are connected by a flux composed of dissolved fundamental strings with a definite tension. In both cases, $N$ fundamental quarks are attached on the cusp(s) of the vertex to cancel the surface term. In the confining phase, we find that the quark in the baryon feel the potential increasing linearly with the distance from the vertex. At finite temperature and in the deconfining phase, we find a stable k-quarks "baryons", which are constructed of arbitrary number of $k(<N)$ quarks.