A Soluble String Theory of Hadrons

TL;DR

This paper develops solvable string models for heavy hadrons, called 'annulons', in holographic duals of supersymmetric Yang-Mills, revealing their nonrelativistic string nature and confinement properties.

Contribution

It introduces a solvable string theory framework for heavy hadrons in holographic duals, highlighting their nonrelativistic string characteristics and confinement effects.

Findings

Heavy hadrons are modeled as nonrelativistic strings ('annulons').

Wilson loop analysis shows quadratic confinement effect.

Exact solvable models in IR holographic regions.

Abstract

We consider Penrose limits of the Klebanov-Strassler and Maldacena-Nunez holographic duals to N =1 supersymmetric Yang-Mills. By focusing in on the IR region we obtain exactly solvable string theory models. These represent the nonrelativistic motion and low-lying excitations of heavy hadrons with mass proportional to a large global charge. We argue that these hadrons, both physically and mathematically, take the form of heavy nonrelativistic strings; we term them "annulons." A simple toy model of a string boosted along a compact circle allows us considerable insight into their properties. We also calculate the Wilson loop carrying large global charge and show the effect of confinement is quadratic, not linear, in the string tension.