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arxiv: 1711.01238 · v1 · pith:CY32LF5Lnew · submitted 2017-11-03 · 🧮 math-ph · math.MP

Defects in Spin Chains via Cluster Categories

classification 🧮 math-ph math.MP
keywords clustercategorieschainsdefectsgroupsspinalgebrasassociated
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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.

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