Some BPS configurations of the BLG Theory

TL;DR

This paper explores various BPS configurations in the BLG theory, including mass deformations and background fields, revealing solutions like intersecting branes, vortex solutions, and domain walls with different supersymmetries.

Contribution

It introduces new BPS configurations in the BLG theory with mass terms and background fields, including numerical vortex solutions and intersecting brane setups.

Findings

Singular N=(3,3) supersymmetric configuration

One-quarter BPS intersecting M2-M5-M5-branes

Numerical topological vortex solutions

Abstract

We obtain BPS configurations of the BLG theory and its variant including mass terms for scalars and fermions in addition to a background field with different world-volume and R-symmetries. Three cases are considered, with world-volume symmetries SO(1,1) and SO(2) and preserving different amounts of supersymmetry. In the former case we obtain a singular configuration preserving N=(3,3) supersymmetry and an one-quarter BPS configuration corresponding to intersecting M2-M5-M5-branes. In the latter instance the BPS equations are reduced to those in the self-dual Chern-Simons theory with two complex scalars. In want of an exact solution, we find a topological vortex solution numerically in this case. Other solutions are given by combinations of domain walls.