2018/04/30 by Andrea Barducci, Roberto Casalbuoni, Joaquim Gomis · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.98.085018
published as Phys. Rev. D 98, 085018 (2018) · 24 pages, 3 figures, version accepted for publication
arxiv created 2018/10/17 · arxiv updated 2018/10/31
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.