Non-singlet Baryons in Less Supersymmetric Backgrounds

TL;DR

This paper explores the existence and properties of non-singlet baryons in various less supersymmetric and confining holographic backgrounds, extending the understanding of baryonic states beyond highly symmetric models.

Contribution

It demonstrates the presence of non-singlet baryons in a broad class of backgrounds, including confining and deformed geometries, and introduces a microscopical description involving fuzzy baryons.

Findings

Non-singlet baryons exist in all AdS_5xY_5 backgrounds with Einstein manifolds.

The range of quark numbers for baryons is specified for different backgrounds.

A microscopical description with magnetic flux and fuzzy baryons is developed.

Abstract

We analyze the holographic description of non-singlet baryons in various backgrounds with reduced supersymmetries and/or confinement. We show that they exist in all AdS_5xY_5 backgrounds with Y_5 an Einstein manifold bearing five form flux, for a number of quarks 5N/8< k< N, independently on the supersymmetries preserved. This result still holds for gamma_i deformations. In the confining Maldacena-Nunez background non-singlet baryons also exist, although in this case the interval for the number of quarks is reduced as compared to the conformal case. We generalize these configurations to include a non-vanishing magnetic flux such that a complementary microscopical description can be given in terms of lower dimensional branes expanding into fuzzy baryons. This description is a first step towards exploring the finite 't Hooft coupling region.