Commuting quantum traces: the case of reflection algebras
Copyright policy )Commuting quantum traces: the case of reflection algebras
We formulate a systematic construction of commuting quantum traces for reflection algebras. This is achieved by introducing two sets of generalized reflection equations with associated consistent fusion procedures. Products of their solutions yield commuting quantum traces.
16 pages, Latex
- UNIVERSITE PARIS DESCARTES France
- Sorbonne Paris Cité France
- Sorbonne University France
- IE University Spain
- Laboratory of Theoretical and High Energy Physics France
High Energy Physics - Theory, [NLIN.NLIN-SI] Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], 81R50; 17B37, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Quantum groups (quantized enveloping algebras) and related deformations, 530, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), [NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics, Operator algebra methods applied to problems in quantum theory, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], 17B37, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Hopf algebras (associative rings and algebras), 81R50, High Energy Physics - Theory (hep-th), [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th]
High Energy Physics - Theory, [NLIN.NLIN-SI] Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], 81R50; 17B37, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Quantum groups (quantized enveloping algebras) and related deformations, 530, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), [NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics, Operator algebra methods applied to problems in quantum theory, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], 17B37, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Hopf algebras (associative rings and algebras), 81R50, High Energy Physics - Theory (hep-th), [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th]
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