Confined dynamical systems with Carroll or Galilei symmetries

Abstract

We introduce a general method to construct classes of dynamical systems invariant under generalizations of the Carroll and of the Galilei groups. The method consists in starting from a space-time in $D+1$ dimensions and partitioning it in two parts, the first Minkowskian and the second Euclidean. Tha action consist of two terms that are separately invariant the Minkwoskian and Euclidean partitioning. One of those contains a system of lagrangian multiplies that confine the system to a subspace. The other term defines the dynamics of the system. The total lagrangian is invariant under the Carroll or the Galilei groups with zero central charge.

24 pages, 3 figures, version accepted for publication

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• Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity
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• Non-Lorentzian theories with and without constraints
• Carroll limit of four-dimensional gravity theories in the first order formalism
• Worldsheet Formalism for Decoupling Limits in String Theory
• VSUSY models with Carroll or Galilei invariance
• Carroll versus Galilei from a Brane Perspective
• Symmetries of post-Galilean expansions
• Non-relativistic limits and three-dimensional coadjoint Poincare gravity
• Stringy (Galilei) Newton-Hooke Chern-Simons Gravities
• Symmetries of M-theory and free Lie superalgebras
• A 3+1 formulation of the 1/c expansion of General Relativity
• Non-relativistic $k$-contractions of the Coadjoint Poincaré algebra
• Carroll membranes
• de Sitter Holography and Carrollian Brane Theories
• Contractions of the Maxwell algebra
• Electric/Magnetic Newton-Hooke and Carroll Jackiw-Teitelboim Gravity
• A non-lorentzian primer