Cross-Confinement in Multi-Chern-Simons Theories

TL;DR

This paper explores a class of 2+1 dimensional multi-Chern-Simons models where classical confinement occurs, allowing finite mass combinations of confined objects, influenced by number theoretic properties.

Contribution

It introduces a new class of models exhibiting classical confinement with unique finite mass combinations, depending on number theoretic properties.

Findings

Classical confinement occurs in certain multi-Chern-Simons models.

Finite mass combinations of confined objects are possible.

Confinement phenomena depend on number theoretic properties of couplings and charges.

Abstract

We identify a class of 2+1 dimensional models, involving multiple Chern-Simons gauge fields, in which a form of classical confinement occurs. This confinement is not cumulative, but allows finite mass combinations of individually confined objects, as in baryons. The occurrence and nature of the phenomena depends on number theoretic properties of the couplings and charges.