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

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.

31 pages, 1 figure, added references and few minor changes

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• Form factors and transverse charge and magnetization densities in the hard-wall AdS/QCD model
• Analytic parametrizations of the ${\gamma }^{\ast }N\to N(1440)$ form factors inspired by Light-Front holography
• A very Practical Guide to Light Front Holographic QCD
• Superconformal Quantum Mechanics from M2-branes
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• Color Confinement and Supersymmetric Properties of Hadron Physics from Light-Front Holography
• Exotic States in a Holographic Theory
• The Common Elements of Atomic and Hadronic Physics
• Embedding LFHQCD in Worldsheet String Theory
• Supersymmetric Meson-Baryon Properties of QCD from Light-Front Holography and Superconformal Algebra