N=1 supersymmetric sigma model with boundaries, I

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

2001-11-19

arxiv.org/abs/hep-th/0111161v4

Commun.Math.Phys. 233 (2003) 403-421

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX. v2: minor clarification in section 3.2, reference added. v3: section added on N=2 supersymmetry. v4: typos co

Scientific paper

10.1007/s00220-002-0756-6

We study an N=1 two-dimensional non-linear sigma model with boundaries representing, e.g., a gauge fixed open string. We describe the full set of boundary conditions compatible with N=1 superconformal symmetry. The problem is analyzed in two different ways: by studying requirements for invariance of the action, and by studying the conserved supercurrent. We present the target space interpretation of these results, and identify the appearance of partially integrable almost product structures.

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