Integrable branes in generalized $\lambda$-deformations

Abstract

We search for integrable boundary conditions and their geometric interpretation as $D$-branes, in models constructed as generalized $\lambda$-deformations of products of group- and coset-spaces. Using the sigma-model approach, we find that all the conformal brane geometries known in the literature for a product of WZW models solve the corresponding boundary conditions, thus persisting as integrable branes along the RG flows of our sigma-models. They consist of the well known $G$-conjugacy classes, twisted $G$-conjugacy classes by a permutation automorphism (permutation branes) and generalized permutation branes. Subsequently, we study the properties of the aforementioned brane geometries, especially of those embedded in the backgrounds interpolating between the UV and IR fixed points.

52 pages

References in corpus (9)

• Integrable Deformations of Strings on Symmetric Spaces
• Spacetimes for λ-deformations
• Classical Open String Integrability
• Integrable flows between exact CFTs
• Generalised N=2 permutation branes
• Integrable asymmetric $\lambda$-deformations
• Webs of integrable theories
• Hamiltonian integrability of the webs of integrable theories
• $\lambda$-deformations in the upper-half plane