Zobrazeno 1 - 10
of 209
pro vyhledávání: '"Weston, Robert"'
Publikováno v:
Approved for publication in Communications in Mathematical Physics (2024)
One of the features of Baxter's Q-operators for many closed spin chain models is that all transfer matrices arise as products of two Q-operators with shifts in the spectral parameter. In the representation-theoretical approach to Q-operators, underly
Externí odkaz:
http://arxiv.org/abs/2301.03997
Masking By Moving (MByM), provides robust and accurate radar odometry measurements through an exhaustive correlative search across discretised pose candidates. However, this dense search creates a significant computational bottleneck which hinders re
Externí odkaz:
http://arxiv.org/abs/2203.00459
Autor:
Vlaar, Bart, Weston, Robert
Publikováno v:
J. Phys. A: Math. Theor. 53 (2020) 245205
We construct a Q-operator for the open XXZ Heisenberg quantum spin chain with diagonal boundary conditions and give a rigorous derivation of Baxter's TQ relation. Key roles in the theory are played by a particular infinite-dimensional solution of the
Externí odkaz:
http://arxiv.org/abs/2001.10760
Publikováno v:
J. Algebra 549 (2020) 268-290
We use ring-theoretic methods and methods from the theory of skew braces to produce set-theoretic solutions to the reflection equation. We also use set-theoretic solutions to construct solutions to the parameter-dependent reflection equation.
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Externí odkaz:
http://arxiv.org/abs/1810.03341
Autor:
Weston, Robert, Yang, Junye
Publikováno v:
J. Stat. Mech. (2017) 123104
We reconsider the open XXZ chain of Yang and Fendley. This model possesses a lattice supersymmetry which changes the length of the chain by one site. We perform an algebraic Bethe ansatz analysis of the model and derive the commutation relations of t
Externí odkaz:
http://arxiv.org/abs/1709.00442
Autor:
Ikhlef, Yacine, Weston, Robert
We construct quasi-local conserved currents in the six-vertex model with anisotropy parameter $\eta$ by making use of the quantum-group approach of Bernard and Felder. From these currents, we construct parafermionic operators with spin $1+i\eta/\pi$
Externí odkaz:
http://arxiv.org/abs/1612.03666
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We consider the quantum Knizhnik-Zamolodchikov-Bernard equation for a face model with elliptic weights, the SOS model. We provide explicit solutions as theta functions. On the so-called combinatorial line, in which the model is equivalent to the thre
Externí odkaz:
http://arxiv.org/abs/1509.04594