Janus field theories from multiple M2 branes

TL;DR

This paper derives supersymmetric Janus field theories from multiple M2 branes with space-time dependent couplings, exploring their supersymmetry preservation and deformations, including mass and Myers-like terms, revealing a transition from weak to strong coupling.

Contribution

It introduces a novel derivation of Janus field theories from M2 branes with space-time dependent couplings, extending the Bagger-Lambert model and analyzing supersymmetry and deformations.

Findings

Supersymmetric Janus theories with space-time dependent couplings are constructed.

Half of the supersymmetries can be preserved in these models.

Coupling constants can vary exponentially, leading to a transition from weak to strong coupling.

Abstract

Based on the recent proposal of N=8 superconformal gauge theories of the multiple M2 branes, we derive (2+1)-dimensional supersymmetric Janus field theories with a space-time dependent coupling constant. From the original Bagger-Lambert model, we get a supersymmetric field theory with a similar action to the N D2 branes, but the coupling varies with the space-time as a function of the light-cone coordinate, g(t+x). Half of the supersymmetries can be preserved. We further investigate the M2 brane action deformed by mass and Myers-like terms. In this case, the final YM action is deformed by mass and Myers terms and the coupling behaves as exp(\mu x) where \mu is a constant mass parameter. Weak coupling gauge theory is continuously changed to strong coupling in the large x region.