Supersymmetric Boundary Conditions for the N=2 Sigma Model

Abstract

We clarify the discussion of N=2 supersymmetric boundary conditions for the classical d=2, N=(2,2) Non-Linear Sigma Model on an infinite strip. Our conclusions about the supersymmetric cycles match the results found in the literature. However, we find a constraint on the boundary action that is not satisfied by many boundary actions used in the literature.

23 pages, no figures. minor changes in text, a reference added

References in corpus (4)

• Remarks on A-branes, Mirror Symmetry, and the Fukaya category
• Consistent Boundary Conditions for Open Strings
• N=2 Boundary conditions for non-linear sigma models and Landau-Ginzburg models
• N=1 Worldsheet Boundary Couplings and Covariance of non-Abelian Worldvolume Theory

Cited by in corpus (5)

• Generalized N=(2,2) Supersymmetric Non-Linear Sigma Models
• On Supersymmetry, Boundary Actions and Brane Charges
• Geometry of Topological Defects of Two-dimensional Sigma Models
• D-branes of A-type, their deformations, and Morse cobordism of A-branes on Calabi-Yau 3-folds under a split attractor flow: Donaldson/Alexander-Hilden-Lozano-Montesinos-Thurston/Hurwitz/Denef-Joyce meeting Polchinski-Grothendieck
• Topological D-branes from Descent