English

N=1 supersymmetric sigma model with boundaries, II

High Energy Physics - Theory 2010-04-05 v3 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.hep-th/0202069,
  title  = {N=1 supersymmetric sigma model with boundaries, II},
  author = {Cecilia Albertsson and Ulf Lindstrom and Maxim Zabzine},
  journal= {arXiv preprint arXiv:hep-th/0202069},
  year   = {2010}
}

Comments

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