Non-Relativistic Superbranes

TL;DR

The paper addresses how to consistently take the non-relativistic limit of relativistic superbranes and analyzes the resulting symmetry structure. It develops a rescaling procedure with a parameter $\omega$ to decouple anti-particle sectors and derives non-relativistic actions that retain worldvolume supersymmetry and an irreducible non-relativistic kappa-symmetry, including explicit results for the D0-brane and the IIA string. A central result is the contraction of the 10D N=2 super-Poincaré algebra to the super-Bargmann algebra, realized by the non-relativistic D0-brane, with a central charge $Z$ identified as the mass and a conventional worldline N=16 SUSY subalgebra. The work provides gauge-invariant non-relativistic actions for $p=0,1,2$ and suggests extensions to super-D-p-branes and the M5-brane, with potential applications to non-flat backgrounds and supersymmetry puzzles in non-relativistic brane theories.

Abstract

Subtleties arising in the non-relativistic limit of relativistic branes are resolved, and a reparametrization-invariant and kappa-symmetric non-relativistic super p-brane action is obtained as a limit of the action for a relativistic super p-brane in a Minkowski vacuum. We give explicit results for the D0-brane, which provides a realization of the super-Bargmann algebra, the IIA superstring and the 11-dimensional supermembrane.