2026/03/07 by Andrew James Bruce
Physics and Astronomy · #Black Holes and Theoretical Physics #Class (philosophy) #Connection (principal bundle) #Cosmology and Gravitation Theories #Field (mathematics) #Invariant (physics) #Pulsars and Gravitational Waves Research #Scalar (mathematics) #Scalar field #Spacetime #Symmetry (geometry)
paper · pdf · doi:10.1088/1361-6382/ae8a09
openalex created_date 2026/07/14 · openalex publication_date 2026/07/14 · openalex updated_date 2026/07/28
Abstract We investigate a class of first-order scalar field theories minimally coupled to a Carrollian connection that are defined intrinsically on the Carrollian plane, i.e. the theories are not defined via limits of Lorentzian theories. The theories built are invariant under the extended Carrollian transformations which include supertranslations. The symmetry allows for a large class of Lagrangians, independence of spacetime coordinates is all that is required. However, invariance under supertranslations (which include boosts as linear supertranslations) forces the energy density to be static and the momentum density to vanish—this precludes on-shell propagation of fields. Thus, to have propagating theories, one must move beyond single field theories that are minimally coupled to the geometry. ‘ But I do not want to go among mad people,’ Alice remarked. Lewis Carroll, Alice’s Adventures in Wonderland, (1865)