N=1 supersymmetric sigma model with boundaries, II

Abstract

We consider the N=1 supersymmetric two-dimensional non-linear sigma model with boundaries and nonzero B-field. By analysing the appropriate currents we describe the full set of boundary conditions compatible with N=1 superconformal symmetry. Using this result the problem of finding a correct action is discussed. We interpret the supersymmetric boundary conditions as a maximal integral submanifold of the target space manifold, and speculate about a new geometrical structure, the deformation of an almost product structure.

LaTeX, 24 pages. v2: Comments on torsion conditions changed. v3: Typos corrected, note added, published version

References in corpus (4)

• Permeable conformal walls and holography
• Consistent Boundary Conditions for Open Strings
• D-branes in N=2 WZW models
• Superconformal boundary conditions for the WZW model

Cited by in corpus (42)

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• Stable D-branes, calibrations and generalized Calabi-Yau geometry
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• K-Theory from a physical perspective
• Consistent Boundary Conditions for Open Strings
• N=2 Boundary conditions for non-linear sigma models and Landau-Ginzburg models
• D-branes and doubled geometry
• Mirror symmetry for topological sigma models with generalized Kahler geometry
• Consistent boundary conditions for supergravity
• D-branes in N=2 WZW models
• Abelian and Non-abelian D-brane Effective Actions
• Geometry of D-branes for general N=(2,2) sigma models
• Open G2 Strings
• Boundary conditions in the Mirabelli and Peskin model
• Tensor calculus for supergravity on a manifold with boundary
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• Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group $H_4$
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• Rotational Surfaces in ${\mathbb{L}}^3$ and Solutions in the Nonlinear Sigma Model
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• Ectoplasm with an Edge
• Noncommutative Supersymmetric/Integrable Models and String Theory
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• T-duality for the sigma model with boundaries
• On the Poisson-Lie T-plurality of boundary conditions
• A brief review of supersymmetric non-linear sigma models and generalized complex geometry
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• Manifestly Supersymmetric RG Flows
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• Comments on Dualities on Group Manifolds and Supersymmetry
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• Supersymmetric Sigma Model geometry
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