Integrability of Green-Schwarz sigma models with boundaries

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 AdS5 × S5 and $ {\text{Ad}}{{\text{S}}_4} \times \mathbb{C}{{\text{P}}^3} $ backgrounds.