Interacting Conformal Carrollian Theories: Cues from Electrodynamics

Abstract

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. The dynamical realization of the non-semi simple infinite dimensional symmetry algebra at the level of charge algebra is exact and free from central terms.

35 pages, 2 figures, Presentation modified, Results unchanged

References in corpus (12)

• The BMS/GCA correspondence
• Conformal Carroll groups and BMS symmetry
• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Flat Holography: Aspects of the dual field theory
• New symmetries for the Gravitational S-matrix
• Non-relativistic conformal symmetries and Newton-Cartan structures
• Conformal Carroll groups
• Dynamics of Carroll Particles
• Field Theories with Conformal Carrollian Symmetry
• Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
• Galilean Conformal Electrodynamics
• Uniqueness of Galilean Conformal Electrodynamics and its Dynamical Structure

Cited by in corpus (25)

• Carroll Expansion of General Relativity
• On Higher-dimensional Carrollian and Galilean Conformal Field Theories
• Carrollian hydrodynamics from symmetries
• Carrollian manifolds and null infinity: A view from Cartan geometry
• Carroll fermions in two dimensions
• Intrinsic Approach to $1+1$D Carrollian Conformal Field Theory
• One-Loop Quantum Effects in Carroll Scalars
• Symmetry group at future null infinity I: Scalar theory
• Galilean Gauge Theories from Null Reductions
• Symmetry group at future null infinity II: Vector theory
• Quantization of Carrollian conformal scalar theories
• Quantization of Interacting Galilean Field theories
• Towards Carrollian quantization: renormalization of Carrollian electrodynamics
• Carrollian limit of quadratic gravity
• Uniqueness of Galilean and Carrollian limits of gravitational theories and application to higher derivative gravity
• Galilean Electrodynamics: Covariant formulation and Lagrangian
• Galilean fermions: Classical and quantum aspects
• Some useful operators on differential forms in Galilean and Carrollian spacetimes
• Asymptotic symmetries in Carrollian theories of gravity
• Carroll black holes in (A)dS and their higher-derivative modifications
• Anisotropic conformal Carroll field theories and their gravity duals
• Unique Carrollian manifolds emerging from Einstein spacetimes
• Galilean and Carrollian Hodge star operators
• Carrollian superconformal theories and super BMS
• Asymptotic symmetries in Carrollian theories of gravity with a negative cosmological constant