Fock representations of ZF algebras and \(R\)-matrices

DOI10.1007/s11005-020-01271-3zbMath1443.16042arXiv1909.13237OpenAlexW2975298078WikidataQ126371996 ScholiaQ126371996MaRDI QIDQ2191214

Charley Scotford, Gandalf Lechner

Publication date: 24 June 2020

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.13237

zbMATH Keywords

representation theoryFock spaceGNS construction\(R\)-matricesYang-BaxterZamolodchikov-Faddeev algebra

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Yang-Baxter equations (16T25) Bergman spaces and Fock spaces (30H20)

Cites Work

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• From integrability to conductance, impurity systems
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• Yang-Baxter representations of the infinite symmetric group
• Towards an operator-algebraic construction of integrable global gauge theories
• Algebraic Constructive Quantum Field Theory: Integrable Models and Deformation Techniques
• SCALING LIMITS OF INTEGRABLE QUANTUM FIELD THEORIES

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