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VSUSY models with Carroll or Galilei invariance
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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 Poincar\'e contractions.
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Carroll membranes
Carroll-limit world-volume actions, Hamilton's equations, and constraint structures are derived for M2 and tachyonic M3 branes in 11D supergravity, with an equivalence proof between Polyakov-type and Nambu-Goto formulations.
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