English

Integrability of Green-Schwarz Sigma Models with Boundaries

High Energy Physics - Theory 2015-05-28 v3

Abstract

We construct integrability preserving boundary conditions for Green-Schwarz sigma-models on semi-symmetric spaces. The boundary conditions are expressed as gluing conditions of the flat-connection, using an involutive metric preserving automorphism. We show that the boundary conditions preserve half of the space-time supersymmetry and an infinite set of conserved charges. We find integrable D-brane configurations for AdS_5 x S^5 and AdS_4 x CP^3 backgrounds.

Keywords

Cite

@article{arxiv.1106.3446,
  title  = {Integrability of Green-Schwarz Sigma Models with Boundaries},
  author = {Amit Dekel and Yaron Oz},
  journal= {arXiv preprint arXiv:1106.3446},
  year   = {2015}
}

Comments

24 pages. v2 references added. v3 typos fixed, sec. 3 improved, references added, published version