@article{2713f2f623c2455c921c59665619b341,

title = "The spectrum of quantum-group-invariant transfer matrices",

abstract = "Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-matrices associated to affine Lie algebras gˆ, and from certain K-matrices (reflection matrices) depending on a discrete parameter p, were recently considered in arXiv:1802.04864 and arXiv:1805.10144. It was shown there that these transfer matrices have quantum group symmetry corresponding to removing the pth node from the gˆ Dynkin diagram. Here we determine the spectrum of these transfer matrices by using analytical Bethe ansatz, and we determine the dependence of the corresponding Bethe equations on p. We propose formulas for the Dynkin labels of the Bethe states in terms of the numbers of Bethe roots of each type. We also briefly study how duality transformations are implemented on the Bethe ansatz solutions.",

author = "Nepomechie, {Rafael I.} and Retore, {Ana L.}",

note = "Funding Information: RN was supported in part by a Cooper fellowship. He gratefully acknowledges support from the Simons Center for Geometry and Physics , Stony Brook University , where some of this work was performed during the Exactly Solvable Program. ALR was supported by the S{\~a}o Paulo Research Foundation FAPESP under the process # 2017/03072-3 and # 2015/00025-9 . ALR thanks the University of Miami for its warm hospitality. Funding Information: RN was supported in part by a Cooper fellowship. He gratefully acknowledges support from the Simons Center for Geometry and Physics, Stony Brook University, where some of this work was performed during the Exactly Solvable Program. ALR was supported by the S{\~a}o Paulo Research Foundation FAPESP under the process # 2017/03072-3 and # 2015/00025-9. ALR thanks the University of Miami for its warm hospitality.",

year = "2019",

month = jan,

doi = "10.1016/j.nuclphysb.2018.11.017",

language = "English (US)",

volume = "938",

pages = "266--297",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

}