Lifshitz-type gauge theory with 𝒩 = 2 supersymmetry

Abstract

We construct an [Formula: see text] supersymmetric gauge theory in Lifshitz space–time. Starting with [Formula: see text] supersymmetric Lagrangian, we introduce an additional [Formula: see text] symmetry between specific component fields. The resultant Lagrangian is shown to have an extra set of supersymmetry, thus realizing an on-shell [Formula: see text] supersymmetric gauge theory. Just as in the case of [Formula: see text], the superderivatives and superfields involved contain higher-order derivatives of spatial coordinates. The constructed [Formula: see text] supersymmetric Lagrangian has both vector multiplet and hypermultiplet.

Uniqueness of Galilean conformal electrodynamics and its dynamical structure

“…Here z, the Lifshitz dynamical exponent. Lifshitz scalings have also been explored in the context of supersymmetric theories ( [8], [9], [10] ) The z = 2 case gives rise to Schrodinger symmetry group (the group of transformations that keeps the Schroedinger equation invariant).…”