From N=4 $$ \mathcal{N}=4 $$ Galilean superparticle to three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ superfields

Abstract

Abstract We consider the general N=4 $$ \mathcal{N}=4 $$, d = 3 Galilean superalgebra with arbitrary central charges and study its dynamical realizations. Using the nonlinear realization techniques, we introduce a class of actions for N=4 $$ \mathcal{N}=4 $$ three-dimensional non-relativistic superparticle, such that they are linear in the central charge Maurer-Cartan one-forms. As a prerequisite to the quantization, we analyze the phase space constraints structure of our model for various choices of the central charges. The first class constraints generate gauge transformations, involving fermionic κ-gauge transformations. The quantization of the model gives rise to the collection of free N=4 $$ \mathcal{N}=4 $$, d = 3 Galilean superfields, which can be further employed, e.g., for description of three-dimensional non-relativistic N=4 $$ \mathcal{N}=4 $$ supersymmetric theories.

Keywords

• Extended Supersymmetry
• Space-Time Symmetries
• Superspaces