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We study supersymmetric boundary conditions in 3-dimensional N = 2Landau-Ginzburg models and abelian gauge theories. In the Landau-Ginzburg modelthe boundary conditions that preserve (1,1) supersymmetry (A-type) and (2,0)supersymmetry (B-type) on the boundary are classified in terms of subspaces ofthe target space ("brane"). An A-type brane is a Lagrangian submanifold onwhich the imaginary part of the superpotential is constant, while a B-typebrane is a holomorphic submanifold on which the superpotential is constant. Wealso 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 themirror symmetry.

Supersymmetric Boundary Conditions in Three Dimensional N = 2 Theories