MS Seminar (Mathematics - String Theory)

Speaker: Satoshi Yamaguchi (Osaka)
Title: Supersymmetric Boundary Conditions in Three Dimensional N=2 Theories
Date: Fri, Apr 19, 2013, 13:15 - 14:45
Place: Seminar Room A
Related File: 909.pdf
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.