Strings from domain walls in supersymmetric Yang-Mills theory and adjoint QCD

TL;DR

This paper investigates the properties of strings between static quarks in supersymmetric Yang-Mills and adjoint QCD theories on a specific spacetime, revealing new features of confinement and string composition.

Contribution

It uncovers novel characteristics of quark strings, including their composition from domain walls and the formation of baryons, in a calculable supersymmetric setting.

Findings

Strings are composed of two domain walls.

Quarks are not confined on domain walls.

Strings can end on domain walls.

Abstract

We study strings between static quarks in QCD with $n_f$ adjoint fermions, including $N=1$ Super Yang-Mills (SYM), in the calculable regime on $\mathbb R^3\times \mathbb S^1$. We find that they have many qualitatively new features not previously known. The difference from other realizations of abelian confinement is due to the composite nature of magnetic bions, whose Dirac quantum with fundamental quarks is two, and to the unbroken part of the Weyl group. In particular we show that strings are composed of two domain walls, that quarks are not confined on domain walls, that strings can end on domain walls, and that "Y" or "$\Delta$" baryons can form. We briefly discuss their lightest modes and decompactification limit.