Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-09-12
JHEP 0302 (2003) 006
Physics
High Energy Physics
High Energy Physics - Theory
48 pages, latex, references and minor comments added, the version to appear in JHEP
Scientific paper
10.1088/1126-6708/2003/02/006
We study N=2 nonlinear two dimensional sigma models with boundaries and their massive generalizations (the Landau-Ginzburg models). These models are defined over either Kahler or bihermitian target space manifolds. We determine the most general local N=2 superconformal boundary conditions (D-branes) for these sigma models. In the Kahler case we reproduce the known results in a systematic fashion including interesting results concerning the coisotropic A-type branes. We further analyse the N=2 superconformal boundary conditions for sigma models defined over a bihermitian manifold with torsion. We interpret the boundary conditions in terms of different types of submanifolds of the target space. We point out how the open sigma models correspond to new types of target space geometry. For the massive Landau-Ginzburg models (both Kahler and bihermitian) we discuss an important class of supersymmetric boundary conditions which admits a nice geometrical interpretation.
Lindstrom Ulf
Zabzine Maxim
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