Regge Trajectories in $\mathcal{N}=2$ Supersymmetric Yang-Mills Theory

Abstract

We demonstrate that $\mathcal{N}=2$ supersymmetric non-Abelian gauge theories have towers of BPS particles obeying a Regge relation, $J\sim m^2,$ between their angular momenta, $J,$ and their masses, $m$. For $SU(N)$ Yang-Mills theories, we estimate the slope of these Regge trajectories using a non-relativistic quiver quantum mechanics model. Along the way, we also prove various structure theorems for the quiver moduli spaces that appear in the calculation.

34 pages, 6 figures, + appendices. V2 references corrected

References in corpus (9)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Witten Index and Wall Crossing
• Search for the ${\Lambda }_b\to \Lambda {\eta }^{\prime }$ and ${\Lambda }_b\to \Lambda \eta$ decays with the LHCb detector
• Categorical Tinkertoys for N=2 Gauge Theories
• An Index Formula for Supersymmetric Quantum Mechanics
• Exact Results in Quiver Quantum Mechanics and BPS Bound State Counting
• Counting Trees in Supersymmetric Quantum Mechanics
• Asymptotics of Ground State Degeneracies in Quiver Quantum Mechanics
• About the Absence of Exotics and the Coulomb Branch Formula

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• Counting Trees in Supersymmetric Quantum Mechanics
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• Asymptotics of Ground State Degeneracies in Quiver Quantum Mechanics
• Quivers, Line Defects and Framed BPS Invariants