VSUSY models with Carroll or Galilei invariance

Abstract

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 of Grassmann variables describing the spin degree of freedom. The models described here are based on a relativistic supersymmetric algebra with vector and scalar generators (VSUSY) . Therefore, in order to obtain dynamical systems consistent with Carroll or Galilei, we will study the contractions of the anticommuting generators compatible with the Poincaré contractions.

Latex, 22 pages

References in corpus (8)

• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Non-relativistic conformal symmetries and Newton-Cartan structures
• Dynamics of Carroll Particles
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• Extended Galilean symmetries of non-relativistic strings
• Confined dynamical systems with Carroll or Galilei symmetries
• The Galilean Superstring
• SuperParticle realization of twisted N=2 SUSY algebra

Cited by in corpus (8)

• Carroll Expansion of General Relativity
• On Higher-dimensional Carrollian and Galilean Conformal Field Theories
• Carrollian manifolds and null infinity: A view from Cartan geometry
• Quantization of Carrollian conformal scalar theories
• Carroll membranes
• Contractions of the Maxwell algebra
• Asymptotic symmetries in Carrollian theories of gravity
• Asymptotic symmetries in Carrollian theories of gravity with a negative cosmological constant