Regge trajectories of the charged string in a magnetic background

TL;DR

This paper derives the Regge trajectories for a charged string in a magnetic background, revealing a family of parallel lines for each spin projection, based on new invariants related to the system's symmetries.

Contribution

It introduces a set of Casimir invariants for the charged string in a magnetic field and derives the corresponding Regge trajectories, providing new insights into the system's spectrum.

Findings

Regge trajectories form parallel lines for each spin projection.

Casimir invariants relate to the string's rest energy.

Infinite family of trajectories for different spin states.

Abstract

The set of Casimir operators associated with the global symmetries of a charged string in a constant magnetic background are found. It is shown that the string rest energy can be expressed as a combination of these invariants. Using this result, the Regge trajectories of the system are derived. The first Regge trajectory is given by a family of infinitely many parallel straight-lines, one for each spin projection along the magnetic field.