The Perfect Atom: Bound States of Supersymmetric Quantum Electrodynamics

Abstract

We study hydrogen-like atoms in N=1 supersymmetric quantum electrodynamics with an electronic and a muonic family. These atoms are bound states of an anti-muon and an electron or their superpartners. The exchange of a photino converts different bound states into each other. We determine the energy eigenstates and calculate the spectrum to fourth order in the fine structure constant. A difference between these perfect atoms and non-supersymmetric ones is the absence of hyperfine structure. We organize the eigenstates into super multiplets of the underlying symmetry algebra.

30 pages, 2 figures. v2: mistake associated with gauge choice fixed, references added. v3: comment about super-positronium added, published version

References in corpus (3)

• Shear viscosity in weakly coupled $\mathcal{N}=4$ Super Yang-Mills theory compared to QCD
• Holographic heavy-light mesons from non-Abelian DBI
• Remarks on Heavy-Light Mesons from AdS/CFT

Cited by in corpus (6)

• Integrability of Black Hole Orbits in Maximal Supergravity
• Nearly Supersymmetric Dark Atoms
• The Simplicity of Perfect Atoms: Degeneracies in Supersymmetric Hydrogen
• On hydrogen-like bound states in $\mathcal{N}=4$ super Yang-Mills
• Searching for Fermi Surfaces in Super-QED
• Hyperfine Splitting and the Zeeman Effect in Holographic Heavy-Light Mesons