Regge trajectories from the adjoint sector of Matrix Quantum Mechanics
Abstract
We reexamine the large limit of SU symmetric quantum mechanics of a Hermitian matrix whose singlet sector is well known to be exactly solvable via free fermions. When the Fermi level approaches a maximum of the potential, there is critical behavior corresponding to string theory in two dimensions. We uncover new phenomena in the adjoint sector by solving the Marchesini-Onofri equation both numerically and analytically using semiclassical approximations: at criticality, the spectrum is governed by Regge trajectories with energy eigenvalues growing according to . In the dual 2D string theory, we interpret these states as oscillatory excitations of a ``short'' folded open string. Up to sub-leading corrections, this Regge behavior is essentially universal and is insensitive to the particular potential we choose to approach criticality. Slightly away from criticality, the highly excited states transition into ``long strings'' that extend far into the Liouville direction.
Keywords
Cite
@article{arxiv.2603.04522,
title = {Regge trajectories from the adjoint sector of Matrix Quantum Mechanics},
author = {Igor R. Klebanov and Henry W. Lin and Pavel Meshcheriakov},
journal= {arXiv preprint arXiv:2603.04522},
year = {2026}
}
Comments
21 pages, 4 figures; v2: added refs and fixed typos