Contractions of the Maxwell algebra

Abstract

We construct all the possible non-relativistic, non-trivial, Galilei and Carroll k-contractions also known as k-1 p-brane contractions of the Maxwell algebra in $D+1$ space-time dimensions. $k$ has to do with the number of space-time dimensions one is contracting.

20 pages, 2 figures. Published version. Notice the change of title

References in corpus (11)

• Newtonian Gravity and the Bargmann Algebra
• Action Principle for Newtonian Gravity
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• Extended Galilean symmetries of non-relativistic strings
• Deformations of Maxwell algebra and their Dynamical Realizations
• Non-Relativistic Maxwell Chern-Simons Gravity
• Lie Algebra Expansions and Actions for Non-Relativistic Gravity
• Confined dynamical systems with Carroll or Galilei symmetries
• Three-Dimensional Extended Newtonian (Super)Gravity
• The Galilean Superstring
• VSUSY models with Carroll or Galilei invariance

Cited by in corpus (2)

• Non-relativistic limits and three-dimensional coadjoint Poincare gravity
• Fracton and Non-Lorentzian Particle Duality: Gauge Field Couplings and Geometric Implications