Results 31 to 40 of about 1,573,184 (216)

Duality relations for overlaps of integrable boundary states in AdS/dCFT

Journal of High Energy Physics, 2021
The encoding of all possible sets of Bethe equations for a spin chain with SU(N|M) symmetry into a QQ-system calls for an expression of spin chain overlaps entirely in terms of Q-functions.
Charlotte Kristjansen, Dennis Müller, Konstantin Zarembo   +2 more
doaj   +1 more source

Integrable matrix models in discrete space-time [PDF]

, 2020
We introduce a class of integrable dynamical systems of interacting classical matrix-valued fields propagating on a discrete space-time lattice, realized as many-body circuits built from elementary symplectic two-body maps.
vZiga Krajnik, E. Ilievski, T. Prosen
semanticscholar   +1 more source

On Bethe vectors in gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant integrable models

Journal of High Energy Physics, 2018
We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl3 $$ \mathfrak{g}{\mathfrak{l}}_3 $$-invariant R-matrix.
A. Liashyk, N. A. Slavnov
doaj   +1 more source

Spectrum of the quantum integrable D 2 2 $$ {D}_2^{(2)} $$ spin chain with generic boundary fields

Journal of High Energy Physics, 2022
Exact solution of the quantum integrable D 2 2 $$ {D}_2^{(2)} $$ spin chain with generic integrable boundary fields is constructed. It is found that the transfer matrix of this model can be factorized as the product of those of two open staggered ...
Guang-Liang Li, Junpeng Cao, Wen-Li Yang, Kangjie Shi, Yupeng Wang   +4 more
doaj   +1 more source

Integral Lattice Models from Gauge Theory [PDF]

Notices of the International Congress of Chinese Mathematicians, 2017
20 ...
openaire   +2 more sources

Why scalar products in the algebraic Bethe ansatz have determinant representation

Journal of High Energy Physics, 2019
We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method
S. Belliard, N. A. Slavnov
doaj   +1 more source

Yang-Baxter algebra and generation of quantum integrable models [PDF]

, 2006
An operator deformed quantum algebra is discovered exploiting the quantum Yang-Baxter equation with trigonometric R-matrix. This novel Hopf algebra along with its $q \to 1$ limit appear to be the most general Yang-Baxter algebra underlying quantum ...
A. G. Izergin, A. G. Shnirman, A. Kundu, A. Kundu, A. Kundu, A. Kundu, A. Kundu, A. Kundu, A. Kundu, A. Kundu, B. Buck, E. Corrigan, E. K. Sklyanin, E. T. Jaynes, I. T. Khabibullin, L. D. Faddeev, L. D. Faddeev, M. Chaichian, N. Yu. Reshetikhin, P. P. Kulish, R. Inoue, V. K. Dobrev, V. O. Tarasov   +22 more
core   +1 more source

Thermodynamic limit of the spin- 1 2 $$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition

Journal of High Energy Physics, 2020
Based on its off-diagonal Bethe ansatz solution, we study the thermodynamic limit of the spin- 1 2 $$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition.
Zhirong Xin, Yusong Cao, Xiaotian Xu, Tao Yang, Junpeng Cao, Wen-Li Yang   +5 more
doaj   +1 more source

On integrable directed polymer models on the square lattice [PDF]

, 2015
In a recent work Povolotsky (2013 J. Phys. A: Math. Theor. 46 465205) provided a three-parameter family of stochastic particle systems with zero-range interactions in one-dimension which are integrable by coordinate Bethe ansatz.
Thimothée Thiery, P. Le Doussal
semanticscholar   +1 more source

Double Grothendieck Polynomials and Colored Lattice Models [PDF]

International mathematics research notices, 2020
We construct an integrable colored six-vertex model whose partition function is a double Grothendieck polynomial. This gives an integrable systems interpretation of bumpless pipe dreams and recent results of Weigandt relating double Grothendieck ...
Valentin Buciumas, Travis Scrimshaw
semanticscholar   +1 more source