138 citations · 485 across the 20 of their papers we have counts for
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Translational symmetries of quadratic lagrangians
Andrea Barducci, Roberto Casalbuoni
In this paper we show that a quadratic lagrangian, with no constraints, containing ordinary time derivatives up to the order of dynamical variables, has symmetries co…
A particle model with extra dimensions from Coadjoint Poincare' Symmetry
Andrea Barducci, Roberto Casalbuoni, Joaquim Gomis
Starting from the coadjoint Poincaré algebra we construct a point particle relativistic model with an interpretation in terms of extra-dimensional variables. The starting coadjoint…
Contractions of the Maxwell algebra
Andrea Barducci, Roberto Casalbuoni, Joaquim Gomis
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 space-time di…
VSUSY models with Carroll or Galilei invariance
Andrea Barducci, Roberto Casalbuoni, Joaquim Gomis
The general method introduced in a previous paperto build up a class of models invariant under generalization of Carroll and Galilei algebra is extended to systems including a set…
Confined dynamical systems with Carroll or Galilei symmetries
Andrea Barducci, Roberto Casalbuoni, Joaquim Gomis
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 fr…
Non-relativistic Spinning Particle in a Newton-Cartan Background
Andrea Barducci, Roberto Casalbuoni, Joaquim Gomis
We construct the action of a non-relativistic spinning particle moving in a general torsionless Newton-Cartan background. The particle does not follow the geodesic equations, inste…