(2,2) and (0,4) Supersymmetric Boundary Conditions in 3d N = 4 Theories and Type IIB Branes

摘要

The half-BPS boundary conditions preserving $\mathcal{N}=(2,2)$ and$\mathcal{N}=(0,4)$ supersymmetry in 3d $\mathcal{N}=4$ supersymmetric gaugetheories are examined. The BPS equations admit decomposition of the bulksupermultiplets into specific boundary supermultiplets of preservedsupersymmetry. Nahm-like equations arise in the vector multiplet BPS boundarycondition preserving $\mathcal{N}=(0,4)$ supersymmetry and Robin-type boundaryconditions appear for the hypermultiplet coupled to vector multiplet when$\mathcal{N}=(2,2)$ supersymmetry is preserved. The half-BPS boundaryconditions are realized in the brane configurations of Type IIB string theory.