Dynamics of Carroll Particles

Understand

We investigate particles whose dynamics is invariant under the Carroll group.

• Although a single free such Carroll particle has no non-trivial dynamics (`the Carroll particle does not move') we show that there exists non-trivial dynamics for a set of interacting Carroll particles.
• Furthermore, we gauge the Carroll algebra and couple the Carroll particle to these gauge fields.
• It turns out that for such a coupled system even a single Carroll particle can have non-trivial dynamics.