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 …
Lattice regularisation of a non-compact boundary conformal field theory
A bstract Non-compact Conformal Field Theories (CFTs) are central to several aspects of
string theory and condensed matter physics. They are characterised, in particular, by the …
string theory and condensed matter physics. They are characterised, in particular, by the …
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 …
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 …
Open boundary conditions of the spin chain and sectors of conformal field theories
P Rigas - arXiv preprint arXiv:2310.18499, 2023 - arxiv.org
We study open boundary conditions for the $ D^{(2)} _3 $ spin chain, which shares
connections with the six-vertex model, under staggering, and also to the antiferromagnetic …
connections with the six-vertex model, under staggering, and also to the antiferromagnetic …
Exact solution of the quantum integrable model associated with the twisted algebra
GL Li, X Xu, K Hao, P Sun, J Cao, WL Yang… - Journal of High Energy …, 2022 - Springer
A bstract We generalize the nested off-diagonal Bethe ansatz method to study the quantum
chain associated with the twisted\({D} _3^{(2)}\) algebra (or the\({D} _3^{(2)}\) model) with …
chain associated with the twisted\({D} _3^{(2)}\) algebra (or the\({D} _3^{(2)}\) model) with …
Spectrum of the Transfer Matrices of the Spin Chains Associated with the Lie Algebra
GL Li, J Cao, K Hao, P Sun, X Xu, T Yang… - … in Mathematical Physics, 2023 - Springer
We study the exact solution of quantum integrable system associated with the A 3 (2) twist
Lie algebra, where the boundary reflection matrices have non-diagonal elements thus the U …
Lie algebra, where the boundary reflection matrices have non-diagonal elements thus the U …
[PDF][PDF] Aspects of classical and quantum integrable models
AL Retore - 2019 - repositorio.unesp.br
Aspects of classical and quantum integrability are explored. Gauge transformations play a
fundamental role in both cases. Classical integrable hierarchies have an underlying …
fundamental role in both cases. Classical integrable hierarchies have an underlying …
[PDF][PDF] A passion for theoretical physics: a special issue in memory of Peter GO Freund
JA Harvey, EJ Martinec, RI Nepomechie - arXiv preprint arXiv:2008.11225, 2020 - arxiv.org
arXiv:2008.11225v2 [hep-th] 8 Dec 2020 Page 1 A Passion for Theoretical Physics: a special
issue in memory of Peter GO Freund Jeffrey A Harvey ∗ , Emil J Martinec∗ and Rafael I …
issue in memory of Peter GO Freund Jeffrey A Harvey ∗ , Emil J Martinec∗ and Rafael I …