Defects in Spin Chains via Cluster Categories

Abstract

We study Picard groups and $K_0$ groups for the cluster algebras that come from the cluster categories of \cite{HernandezLeclerc}. This is inspired by a study of boundaries and defects in the associated spin chains. We also do some discussion for their formal deformation quantizations.

References in corpus (8)

• The Amplituhedron
• Locally acyclic cluster algebras
• Baxter Q-operator from quantum K-theory
• Poisson geometry and Morita equivalence
• Meromorphic tensor categories
• Cluster automorphism groups of cluster algebras of finite type
• Elliptic quantum groups and their finite-dimensional representations
• Grassmannians and Cluster Algebras