Journal
NUCLEAR PHYSICS B
Volume 938, Issue -, Pages 266-297Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2018.11.017
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Funding
- Cooper fellowship
- Simons Center for Geometry and Physics, Stony Brook University
- Sao Paulo Research Foundation FAPESP [2017/03072-3, 2015/00025-9]
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Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-matrices associated to affine Lie algebras (g) over cap, 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 (g) over cap 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. (C) 2018 The Author(s). Published by Elsevier B.V.
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