N=1 supersymmetric sigma model with boundaries, II

Details N=1 supersymmetric sigma model with boundaries, II N=1 supersymmetric sigma model with boundaries, II

2002-02-11

arxiv.org/abs/hep-th/0202069v3

Nucl.Phys. B678 (2004) 295-316

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.nuclphysb.2003.11.024

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.

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