Supersymmetric Boundary Conditions in Three Dimensional N = 2 Theories

Abstract

We study supersymmetric boundary conditions in 3-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.

25 pages, 7 figures

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• Central Charges for BCFTs and Holography
• Generalized Superconformal Index for Three Dimensional Field Theories
• Boundary Conditions for Interacting Membranes
• Abelian duality, walls and boundary conditions in diverse dimensions
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