Baryon Spectrum from Superconformal Quantum Mechanics and its Light-Front Holographic Embedding

TL;DR

This paper models the light-baryon spectrum using superconformal quantum mechanics embedded in light-front holography, revealing a unique confinement potential and explaining spectral degeneracies and mass patterns.

Contribution

It extends superconformal quantum mechanics to light-front holography, providing a novel approach to determine confinement potential and explain baryon spectral features.

Findings

Successfully models light-baryon spectrum with superconformal quantum mechanics.

Explains mass patterns and degeneracies in baryon spectrum.

Provides a duality between fermionic AdS equations and light-front supersymmetric bound states.

Abstract

We describe the observed light-baryon spectrum by extending superconformal quantum mechanics to the light front and its embedding in AdS space. This procedure uniquely determines the confinement potential for arbitrary half-integer spin. To this end, we show that fermionic wave equations in AdS space are dual to light-front supersymmetric quantum mechanical bound-state equations in physical space-time. The specific breaking of conformal invariance explains hadronic properties common to light mesons and baryons, such as the observed mass pattern in the radial and orbital excitations, from the spectrum generating algebra. The holographic embedding in AdS also explains distinctive and systematic features, such as the spin-$J$ degeneracy for states with the same orbital angular momentum, observed in the light baryon spectrum.