Vortices, Q-balls and Domain Walls on Dielectric M2-branes

TL;DR

This paper investigates BPS solitons in a deformed N=6 Chern-Simons-matter theory, revealing vortex, domain wall, and non-topological soliton solutions linked to M2-brane polarization and dielectric effects.

Contribution

It introduces a polarized M2-brane configuration leading to an effective abelian Chern-Simons-Higgs model with novel BPS solitons and compares the potential with M5-brane calculations.

Findings

Existence of BPS vortex, domain wall, and non-topological solitons.

Agreement of the fuzzy S^3 radius potential with M5-brane analysis.

Identification of supersymmetry-preserving solitons in the deformed theory.

Abstract

We study BPS solitons in N=6 U(N) \times U(N) Chern-Simons-matter theory deformed by an F-term mass. The F-term mass generically breaks N=6 supersymmetry down to N=2. At vacua, M2-branes are polarized into a fuzzy S^3 forming a spherical M5-brane with topology \mathbf{R}^{1,2} \times S^3. The polarization is interpreted as Myers' dielectric effect caused by an anti-self-dual 4-form flux T_4 in the eleven-dimensional supergravity. Assuming a polarized M2-brane configuration, the model effectively reduces to the well-known abelian Chern-Simons-Higgs model studied in detail by Jackiw-Lee-Weinberg. We find that the potential for the fuzzy S^3 radius agrees with the one calculated from the M5-brane point of view at large N. This effective model admits not only BPS topological vortex and domain wall solutions but also non-topological solitons that keep 1/4 of the manifest N=2 supersymmetry. We also comment on the reduction of our configuration to ten dimensions.