N=1 supersymmetric sigma model with boundaries, I
High Energy Physics - Theory
2009-11-07 v4 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.hep-th/0111161,
title = {N=1 supersymmetric sigma model with boundaries, I},
author = {Cecilia Albertsson and Ulf Lindstrom and Maxim Zabzine},
journal= {arXiv preprint arXiv:hep-th/0111161},
year = {2009}
}
Comments
24 pages, LaTeX. v2: minor clarification in section 3.2, reference added. v3: section added on N=2 supersymmetry. v4: typos corrected, published version