Integrability of Green-Schwarz Sigma Models with Boundaries

Details Integrability of Green-Schwarz Sigma Models with Boundaries Integrability of Green-Schwarz Sigma Models with Boundaries

2011-06-17

arxiv.org/abs/1106.3446v3

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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