Integrable crosscaps in classical sigma models

Abstract

Abstract We study the integrable boundaries and crosscaps of classical sigma models. We show that there exists a classical analog of the integrability condition and KT-relation of the boundary and crosscap states of quantum spin chains. We also classify the integrable crosscaps for various sigma models including examples which are relevant in the AdS/CFT correspondence at strong coupling.

Keywords

• Integrable Field Theories
• Sigma Models
• AdS-CFT Correspondence