Integrable crosscaps in classical sigma models

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.

26 pages, 4 figures, 6 tables, some references added

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Cited by in corpus (4)

• Universal scaling of Klein bottle entropy near conformal critical points
• Extracting the Luttinger parameter from a single wave function
• Integrable Crosscap States: From Spin Chains to 1D Bose Gas
• Numerical extraction of crosscap coefficients in microscopic models for (2+1)D conformal field theory