Integrability of Green-Schwarz Sigma Models with Boundaries

TL;DR

This paper develops boundary conditions that preserve integrability and supersymmetry in Green-Schwarz sigma models on semi-symmetric spaces, identifying new integrable D-brane configurations in AdS backgrounds.

Contribution

It introduces a method to construct integrability-preserving boundary conditions using automorphisms, extending the understanding of D-branes in AdS/CFT contexts.

Findings

Boundary conditions preserve half of the supersymmetry.

Infinite conserved charges are maintained with these boundary conditions.

New integrable D-brane configurations are identified for AdS_5 x S^5 and AdS_4 x CP^3.

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.