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 …
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 …
Finite size spectrum of the staggered six-vertex model with Uq( (2))-invariant boundary conditions
H Frahm, S Gehrmann - Journal of High Energy Physics, 2022 - Springer
A bstract The finite size spectrum of the critical ℤ 2-staggered spin-1/2 XXZ model with
quantum group invariant boundary conditions is studied. For a particular (self-dual) choice of …
quantum group invariant boundary conditions is studied. For a particular (self-dual) choice of …
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 …
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 …
[HTML][HTML] The spectrum of quantum-group-invariant transfer matrices
RI Nepomechie, AL Retore - Nuclear Physics B, 2019 - Elsevier
Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-
matrices associated to affine Lie algebras g ˆ, and from certain K-matrices (reflection …
matrices associated to affine Lie algebras g ˆ, and from certain K-matrices (reflection …
the influence of boundary conditions on the emergence of non-compact degrees of freedom in the scaling limit of integrable lattice models
S Gehrmann - 2024 - repo.uni-hannover.de
One-dimensional critical integrable lattice models with a finite-dimensional degree of
freedom attached to each lattice site can exhibit the remarkable phenomenon of the …
freedom attached to each lattice site can exhibit the remarkable phenomenon of the …