Interacting Conformal Carrollian Theories: Cues from Electrodynamics

Understand

We construct the free Lagrangian of the magnetic sector of Carrollian electrodynamics.

• The construction relies on Helmholtz integrability condition for differential equations in a self consistent algorithm, working hand in hand with imposing invariance under infinite dimensional Conformal Carroll algebra.
• It requires inclusion of new fields in the dynamics and the system is free of gauge redundancies.
• We next add interaction (quartic) terms to the free Lagrangian, strictly constrained by conformal invariance and Carrollian symmetry.