Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions

Abstract

We present a generalization of the so-called Maxwellian extended Bargmann algebra by considering a non-relativistic limit to a generalized Maxwell algebra defined in three spacetime dimensions. The non-relativistic Chern-Simons gravity theory based on this new algebra is also constructed and discussed. We point out that the extended Bargmann and its Maxwellian generalization are particular sub-cases of the generalized Maxwellian extended Bargmann gravity introduced here. The extension of our results using the semigroup expansion method is also discussed.

v3, 19 pages, Discussion added in section 4, reference added, version accepted in Physics Letters B

References in corpus (20)

• Quantum Gravity at a Lifshitz Point
• Newtonian Gravity and the Bargmann Algebra
• Non-relativistic conformal symmetries and Newton-Cartan structures
• Expanding Lie (super)algebras through abelian semigroups
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• Galilean Isometries
• (2+1)D Exotic Newton-Hooke Symmetry, Duality and Projective Phase
• Expansions of algebras and superalgebras and some applications
• Galilean quantum gravity with cosmological constant and the extended q-Heisenberg algebra
• Newton-Cartan Gravity and Torsion
• Generalized Poincare algebras and Lovelock-Cartan gravity theory
• Oddity in nonrelativistic, strong gravity
• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• $\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions
• Localisation of the Galilean symmetry and dynamical realisation of Newton-Cartan geometry
• An Analytic Method for $S$-Expansion involving Resonance and Reduction
• Non-relativistic Spinning Particle in a Newton-Cartan Background
• Non-relativistic limits and three-dimensional coadjoint Poincare gravity
• Three-Dimensional Higher-Order Schrödinger Algebras and Lie Algebra Expansions
• Vacuum energy in asymptotically flat 2+1 gravity

Cited by in corpus (18)

• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• Non-relativistic three-dimensional supergravity theories and semigroup expansion method
• Three-dimensional non-relativistic extended supergravity with cosmological constant
• Three-dimensional exotic Newtonian supergravity theory with cosmological constant
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Three-dimensional non-relativistic supergravity and torsion
• Non-Relativistic and Ultra-Relativistic Scaling Limits of Multimetric Gravity
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• Extended Kinematical 3D Gravity Theories
• Three-dimensional teleparallel Chern-Simons supergravity theory
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• Lie Algebra Expansions, Non-Relativistic Matter Multiplets and Actions
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• Generalised Bargmann Superalgebras
• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant