[图书][B] Quantum groups in three-dimensional integrability
A Kuniba - 2022 - Springer
In integrable systems in quantum field theory in (1+ 1)-dimensional space time and statistical
mechanical models on two-dimensional lattices, a central role is played by the Yang–Baxter …
mechanical models on two-dimensional lattices, a central role is played by the Yang–Baxter …
[HTML][HTML] The integrable quantum group invariant A2n− 1 (2) and Dn+ 1 (2) open spin chains
A family of A 2 n (2) integrable open spin chains with U q (C n) symmetry was recently
identified in arXiv: 1702.01482. We identify here in a similar way a family of A 2 n− 1 (2) …
identified in arXiv: 1702.01482. We identify here in a similar way a family of A 2 n− 1 (2) …
Matrix product solution to the reflection equation associated with a coideal subalgebra of U_q (A^(1) _ n-1) U q (A n-1 (1))
A Kuniba, M Okado, A Yoneyama - Letters in Mathematical Physics, 2019 - Springer
We present a new solution to the reflection equation associated with a coideal subalgebra of
U_q (A^(1) _ n-1) U q (A n-1 (1)) in the symmetric tensor representations and their dual …
U_q (A^(1) _ n-1) U q (A n-1 (1)) in the symmetric tensor representations and their dual …
[HTML][HTML] On the boundaries of quantum integrability for the spin-1/2 Richardson–Gaudin system
We discuss a generalised version of Sklyanin's Boundary Quantum Inverse Scattering
Method applied to the spin-1/2, trigonometric sl (2) case, for which both the twisted-periodic …
Method applied to the spin-1/2, trigonometric sl (2) case, for which both the twisted-periodic …
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 …
Arbitrary four string scattering at high energy and fixed angle
N Moeller, P West - Nuclear Physics B, 2005 - Elsevier
We calculate, using the group theoretic approach to string theory, the tree and one loop
scattering of four open and closed arbitrary bosonic string states. In the limit of high energy …
scattering of four open and closed arbitrary bosonic string states. In the limit of high energy …
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 …
An− 1 Gaudin model with open boundaries
WL Yang, YZ Zhang, R Sasaki - Nuclear Physics B, 2005 - Elsevier
The An− 1 Gaudin model with integrable boundaries specified by non-diagonal K-matrices
is studied. The commuting families of Gaudin operators are diagonalized by the algebraic …
is studied. The commuting families of Gaudin operators are diagonalized by the algebraic …
Matrix product solutions to the reflection equation from three dimensional integrability
A Kuniba, V Pasquier - Journal of Physics A: Mathematical and …, 2018 - iopscience.iop.org
We formulate a quantized reflection equation in which q-boson valued L and K matrices
satisfy the reflection equation up to conjugation by a solution to the Isaev–Kulish 3D …
satisfy the reflection equation up to conjugation by a solution to the Isaev–Kulish 3D …