Supersymmetric boundary conditions in three-dimensional N = 2 theories

We study supersymmetric boundary conditions in three-dimensional N = 2 Landau-Ginzburg models and Abelian gauge theories. In the Landau-Ginzburg model the boundary conditions that preserve (1, 1) supersymmetry (A-type) and (2, 0) supersymmetry (B-type) on the boundary are classified in terms of subspaces of the target space (“brane”). An A-type brane is a Lagrangian submanifold on which the imaginary part of the superpotential is constant, while a B-type brane is a holomorphic submanifold on which the superpotential is constant. We also consider the N = 2 Maxwell theory with boundary and the Abelian duality. Finally we make some comments on N = 2 SQED with boundary condition and the mirror symmetry. tadashi[at]theory.caltech.edu yamaguch[at]het.phys.sci.osaka-u.ac.jp ar X iv :1 30 2. 65 93 v3 [ he pth ] 1 2 Ju n 20 13