Dynamical structure of Carrollian Electrodynamics

Abstract

We present an action of ultra-relativistic electrodynamics on a flat Carroll manifold. The model exhibits a couple of physical degrees of freedom per space-point. We observe that the action of the conformal Carroll algebra on the phase space is Hamiltonian in 4 space-time dimensions. Moreover the elements of the algebra give rise to an infinite number of conserved charges and the charge algebra is an exact realization of the kinematical algebra.

arXiv commentAdded few references

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Cited by in corpus (20)

• Field Theories with Conformal Carrollian Symmetry
• Carroll Expansion of General Relativity
• Carrollian conservation laws and Ricci-flat gravity
• Field Theories on Null Manifolds
• Spatially isotropic homogeneous spacetimes
• Carrollian hydrodynamics from symmetries
• Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
• Interacting Conformal Carrollian Theories: Cues from Electrodynamics
• Carroll covariant scalar fields in two dimensions
• Carroll fermions in two dimensions
• One-Loop Quantum Effects in Carroll Scalars
• Carrollian Yang-Mills Theory
• Quantization of Carrollian conformal scalar theories
• Uniqueness of Galilean Conformal Electrodynamics and its Dynamical Structure
• Carroll membranes
• Classification of Conformal Carroll Algebras
• Canonical Formalism of Non-Relativistic Theories Coupled to Newton-Cartan Gravity
• Sourced Carrollian Fluids Dual to Black Hole Horizons
• Carrollian superconformal theories and super BMS
• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant