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arXiv · 1106.3446

Integrability of Green-Schwarz Sigma Models with Boundaries

Amit Dekel·Yaron Oz
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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.

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Amit Dekel, Yaron Oz. 2011-11-08. Integrability of Green-Schwarz Sigma Models with Boundaries. https://doi.org/10.1007/jhep08(2011)004

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