Particle and Superparticle Confinement in Higher Codimension Braneworlds

TL;DR

This paper investigates how spin influences the classical confinement of particles in higher-codimension braneworlds, revealing that spin-curvature coupling can enable stable, confined particle trajectories.

Contribution

It demonstrates that spin-curvature interactions can induce confinement in higher-dimensional braneworld models, a novel insight into localization mechanisms.

Findings

Spinless particles are not confined, exhibiting repulsive potential behavior.

Spinning particles can be confined due to spin-curvature coupling, forming stable equilibrium points.

Particle motion can be bounded or satellite-like depending on coupling parameters.

Abstract

In this work we analyze the classical confinement of relativistic and supersymmetric spinning particles in higher-codimension braneworlds. Considering warped backgrounds generated by string-like $ n=2$ and global scalar defects $ n \geq 3$, we derive the effective radial dynamics from a Polyakov-type action. For spinless particles, the effective potential is monotonically decreasing, leading to repulsive behavior and the absence of confinement. In contrast, for $N=1,2 $ spinning particles, spin-curvature coupling modifies the potential, allowing the emergence of stable equilibrium points. Depending on the coupling parameter, particles may be confined on the membrane or in nearby regions, exhibiting bounded or satellite-like motion. These results emphasize the role of spin in localization mechanisms.