"Hadron Physics from Superconformal Quantum Mechanics and its Light-Front
Holographic Embedding"
Prof. Guy de Téramond Peralta,
Universidad de Costa Rica
Relativistic bound-state equations for mesons and baryons are constructed in
a semiclassical approximation to light-front QCD from a superconformal
algebra which relates baryon and meson spectra. This procedure uniquely
determines the confinement potential for arbitrary spin and its embedding in
AdS space. The specific breaking of dilatation invariance within the
supersymmetric algebra explains hadronic properties common to light mesons
and baryons, such as the observed mass pattern in the radial and orbital
excitations. The lowest-lying state, the the pi-meson, is massless in the
chiral limit and has no supersymmetric partner. Quark masses break conformal
invariance, but the basic underlying supersymmetric mechanism gives
remarkable connections across the entire spectrum of light and heavy-light
hadrons. We will also briefly describe the light-front holographic cluster
decomposition of form factors and the infrared behavior of the strong
coupling constant for different schemes.