Boundaries and supercurrent multiplets in 3D Landau-Ginzburg models

Understand

Theories with 3D $\mathcal{N}=2$ bulk supersymmetry may preserve a 2D $\mathcal{N}=(0,2)$ subalgebra when a boundary is introduced, possibly with localized degrees of freedom.

• We propose generalized supercurrent multiplets with bulk and boundary parts adapted to such setups.
• Using their structure, we comment on implications for the $\overline{Q}_+$-cohomology.
• As an example, we apply the developed framework to Landau-Ginzburg models.