Yang-Baxter algebra and generation of quantum integrable models

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dc.creatorKundu, Anjan
dc.date2006-09-01
dc.date2006-11-28
dc.date.accessioned2026-07-07T11:28:15Z
dc.date.available2026-07-07T11:28:15Z
dc.descriptionAn operator deformed quantum algebra is discovered exploiting the quantum Yang-Baxter equation with trigonometric R-matrix. This novel Hopf algebra along with its $q \to 1$ limit appear to be the most general Yang-Baxter algebra underlying quantum integrable systems. Three different directions of application of this algebra in integrable systems depending on different sets of values of deforming operators are identified. Fixed values on the whole lattice yield subalgebras linked to standard quantum integrable models, while the associated Lax operators generate and classify them in an unified way. Variable values construct a new series of quantum integrable inhomogeneous models. Fixed but different values at different lattice sites can produce a novel class of integrable hybrid models including integrable matter-radiation models and quantum field models with defects, in particular, a new quantum integrable sine-Gordon model with defect.
dc.description13 pages, revised and bit expanded with additional explanations, accepted for publication in Theor. Math. Phys
dc.identifierhttps://arxiv.org/abs/nlin/0609001
dc.identifierhttp://arxiv.org/abs/nlin/0609001
dc.identifierTheor.Math.Phys.151:831-842,2007
dc.identifierdoi:10.1007/s11232-007-0068-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196379
dc.subjectExactly Solvable and Integrable Systems
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleYang-Baxter algebra and generation of quantum integrable models
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