LieART 2.0–a mathematica application for lie algebras and representation theory
We present LieART 2.0 which contains substantial extensions to the Mathematica
application LieART (Lie Algebras and Representation T heory) for computations frequently …
application LieART (Lie Algebras and Representation T heory) for computations frequently …
The spin chain and its finite-size spectrum
A bstract Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-
periodic\({D} _3^{(2)}\) spin chain. Supported by a detailed symmetry analysis, we determine …
periodic\({D} _3^{(2)}\) spin chain. Supported by a detailed symmetry analysis, we determine …
Integrable boundary conditions for staggered vertex models
H Frahm, S Gehrmann - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
Yang–Baxter integrable vertex models with a generic Z2-staggering can be expressed in
terms of composite R-matrices given in terms of the elementary R-matrices. Similarly …
terms of composite R-matrices given in terms of the elementary R-matrices. Similarly …
Integrable boundary conditions in the antiferromagnetic Potts model
NF Robertson, M Pawelkiewicz, JL Jacobsen… - Journal of High Energy …, 2020 - Springer
A bstract We present an exact mapping between the staggered six-vertex model and an
integrable model constructed from the twisted affine\({D} _2^ 2\) Lie algebra. Using the …
integrable model constructed from the twisted affine\({D} _2^ 2\) Lie algebra. Using the …
Factorization identities and algebraic Bethe ansatz for models
RI Nepomechie, AL Retore - Journal of High Energy Physics, 2021 - Springer
A bstract We express\({D} _2^{(2)}\) transfer matrices as products of\({A} _1^{(1)}\) transfer
matrices, for both closed and open spin chains. We use these relations, which we call …
matrices, for both closed and open spin chains. We use these relations, which we call …
New K-matrices with quantum group symmetry
RI Nepomechie, RA Pimenta - Journal of Physics A: Mathematical …, 2018 - iopscience.iop.org
We propose new families of solutions of the boundary Yang–Baxter equation. The open spin-
chain transfer matrices constructed with these K-matrices have quantum group symmetry …
chain transfer matrices constructed with these K-matrices have quantum group symmetry …
Spectrum of the quantum integrable spin chain with generic boundary fields
GL Li, J Cao, WL Yang, K Shi, Y Wang - Journal of High Energy Physics, 2022 - Springer
A bstract Exact solution of the quantum integrable\({D} _2^{(2)}\) spin chain with generic
integrable boundary fields is constructed. It is found that the transfer matrix of this model can …
integrable boundary fields is constructed. It is found that the transfer matrix of this model can …
Towards the solution of an integrable spin chain
RI Nepomechie, RA Pimenta… - Journal of Physics A …, 2019 - iopscience.iop.org
Two branches of integrable open quantum-group invariant quantum spin chains are known.
For one branch (), a complete Bethe ansatz solution has been proposed. However, the other …
For one branch (), a complete Bethe ansatz solution has been proposed. However, the other …
Q-systems with boundary parameters
RI Nepomechie - Journal of Physics A: Mathematical and …, 2020 - iopscience.iop.org
Q-systems provide an efficient way of solving Bethe equations. We formulate here Q-
systems for both the isotropic and anisotropic open Heisenberg quantum spin-1/2 chains …
systems for both the isotropic and anisotropic open Heisenberg quantum spin-1/2 chains …
[HTML][HTML] Surveying the quantum group symmetries of integrable open spin chains
RI Nepomechie, AL Retore - Nuclear Physics B, 2018 - Elsevier
Using anisotropic R-matrices associated with affine Lie algebras g ˆ (specifically, A 2 n (2), A
2 n− 1 (2), B n (1), C n (1), D n (1)) and suitable corresponding K-matrices, we construct …
2 n− 1 (2), B n (1), C n (1), D n (1)) and suitable corresponding K-matrices, we construct …