BPS Vortices in Non-relativistic M2-brane Chern-Simons-matter Theory

TL;DR

This paper investigates BPS vortex solutions in a non-relativistic, mass-deformed ${ m extbf{N}}=6$ supersymmetric Chern-Simons-matter theory, revealing exact solutions with specific supersymmetry preservation and fuzzy sphere geometry.

Contribution

It presents the first explicit construction of Jackiw-Pi type vortex solutions in a non-relativistic ${ m extbf{N}}=6$ supersymmetric Chern-Simons-matter theory with fuzzy sphere structure.

Findings

Exact vortex solutions preserving specific supersymmetries.

Vortices exhibit $S^3$ fuzzy sphere geometry.

Solutions maintain a subset of super Schrödinger symmetries.

Abstract

We study BPS vortices in the mass-deformed non-relativistic ${\C N}=6$ $U(N)_k\times U(N)_{-k}$ Chern-Simons-matter theory. We focus on the massive deformation that preserves the maximal ${\C N}=6$ supersymmetry, and consider a non-relativistic limit that carry 14 supercharges. In this non-relativistic field theory we find Jackiw-Pi type exact vortex solutions combined with $S^3$ fuzzy sphere geometry. We analyse their properties and show that they preserve one dynamical, one conformal and five kinematical supersymmetries among the full super Schr\"odinger symmetry.