Supersymmetry Across the Light and Heavy-Light Hadronic Spectrum

TL;DR

This paper explores how superconformal algebra-based supersymmetry connects light and heavy-light hadron spectra, revealing underlying symmetries that persist despite quark mass effects.

Contribution

It demonstrates the application of superconformal algebra to relate meson and baryon spectra across light and heavy-light hadrons, including extensions to double-heavy systems.

Findings

Supersymmetric relations hold across the entire hadronic spectrum.

Quark masses break conformal invariance but preserve supersymmetric connections.

Extensions to double-heavy hadrons are briefly examined.

Abstract

Relativistic light-front bound-state equations for mesons and baryons can be constructed in the chiral limit from the supercharges of a superconformal algebra which connect baryon and meson spectra. Quark masses break the conformal invariance, but the basic underlying supersymmetric mechanism, which transforms meson and baryon wave functions into each other, still holds and gives remarkable connections across the entire spectrum of light and heavy-light hadrons. We also briefly examine the consequences of extending the supersymmetric relations to double-heavy mesons and baryons.