Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
Joaquim Gomis, Axel Kleinschmidt, Jakob Palmkvist, Patricio Salgado-Rebolledo
Abstract
A bstract We construct finite- and infinite-dimensional non-relativistic extensions of the Newton-Hooke and Carroll (A)dS algebras using the algebra expansion method, starting from the (anti-)de Sitter relativistic algebra in D dimensions. These algebras are also shown to be embedded in different affine Kac-Moody algebras. In the three-dimensional case, we construct Chern-Simons actions invariant under these symmetries. This leads to a sequence of non-relativistic gravity theories, where the simplest examples correspond to extended Newton-Hooke and extended (post-)Newtonian gravity together with their Carrollian counterparts.
Topics & Concepts
PhysicsAffine transformationInvariant (physics)Construct (python library)Massive gravitySequence (biology)Mathematical physicsAlgebra representationAlgebra over a fieldTheoretical physicsCurrent algebraPure mathematicsConstraint algebraAnti-de Sitter spaceQuantum gravityClassical mechanicsSubalgebraDe Sitter universeGravitationHomotopy and Cohomology in Algebraic TopologyNoncommutative and Quantum Gravity TheoriesAlgebraic structures and combinatorial models