Bk spin vertex models and quantum algebras

Research output: Contribution to journalArticle


We construct new solvable vertex models based on the spin representation of the Lie algebra Bk. We use these models to study the algebraic structure underlying such vertex theories. We show that all the Bk spin vertex models obey a version of the BMW algebra along with extra relations that are called n–CB (conformal braiding) algebras. These algebras were discussed before for various IRF (interaction round the face) models. Here we establish that the same algebras hold for vertex models.
Original languageEnglish
Article number115116
Number of pages11
JournalNuclear Physics B
Early online date21 Jul 2020
StatePublished - Sep 2020


Dive into the research topics of 'Bk spin vertex models and quantum algebras'. Together they form a unique fingerprint.

Cite this