Non-Lorentzian theories with and without constraints

Abstract

We exhibit a new method of constructing non-Lorentzian models by applying a method we refer to as starting from a so-called seed Lagrangian. This method typically produces additional constraints in the system that can drastically alter the physical content of the model. We demonstrate our method for particles, scalars and vector fields.

24 pages. v2: JHEP version, refs. added

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Cited by in corpus (19)

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• Super-Carrollian and Super-Galilean Field Theories
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• Quantization of Carrollian conformal scalar theories
• Carrollian limit of quadratic gravity
• A 3+1 formulation of the 1/c expansion of General Relativity
• Uniqueness of Galilean and Carrollian limits of gravitational theories and application to higher derivative gravity
• Classification of Conformal Carroll Algebras
• Carroll-Schrödinger Equation
• Fracton and Non-Lorentzian Particle Duality: Gauge Field Couplings and Geometric Implications
• Supersymmetric Carroll Galileons in Three Dimensions
• Carroll black holes in (A)dS and their higher-derivative modifications
• Fate of $\kappa$-Minkowski space-time in non-relativistic (Galilean) and ultra-relativistic (Carrollian) regimes
• Galilei particles revisited
• Post-Carrollian Mechanics, Ideal Gas, and Gravity
• Conformal Galilean Spin-3 Gravity in 3d
• AdS${}_3$ Carroll gravity: asymptotic symmetries and C-thermal configurations
• Scaling Symmetry and Carrollian Gravity
• Remarks on Galilean electromagnetism