Results 21 to 30 of about 1,334 (305)
Bethe Ansatz equations for the classical A^(1)_n affine Toda field theories [PDF]
, 2014 We establish a correspondence between classical A(1)n affine Toda field theories and An Bethe Ansatz systems. We show that the connection coefficients relating specific solutions of the associated classical linear problem satisfy functional relations of ...
Dunning, Clare +2 more
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Integral Lattice Models from Gauge Theory [PDF]
Notices of the International Congress of Chinese Mathematicians, 2017 20 ...
openaire +2 more sources
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 +5 more
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Representations of sl(2,?) in category O and master symmetries [PDF]
, 2015 We show that the indecomposable sl(2,?)-modules in the Bernstein-Gelfand-Gelfand category O naturally arise for homogeneous integrable nonlinear evolution systems. We then develop a new approach called the O scheme to construct master symmetries for such
J. P. Wang, Wang, Jing Ping
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Journal of High Energy Physics, 2020 We formulate Q-systems for the closed XXZ, open XXX and open quantum- group-invariant XXZ quantum spin chains. Polynomial solutions of these Q-systems can be found efficiently, which in turn lead directly to the admissible solutions of the corresponding ...
Zoltán Bajnok +3 more
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New compact construction of eigenstates for supersymmetric spin chains
Journal of High Energy Physics, 2018 The problem of separation of variables (SoV) in supersymmetric spin chains is closely related to the calculation of correlation functions in N=4 $$ \mathcal{N}=4 $$ SYM theory which is integrable in the planar limit.
Nikolay Gromov, Fedor Levkovich-Maslyuk
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A novel class of translationally invariant spin chains with long-range interactions
Journal of High Energy Physics, 2020 We introduce a new class of open, translationally invariant spin chains with long-range interactions depending on both spin permutation and (polarized) spin reversal operators, which includes the Haldane-Shastry chain as a particular degenerate case. The
B. Basu-Mallick +2 more
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Lattice integrals of motion of the Ising model on the cylinder [PDF]
Physica A: Statistical Mechanics and its Applications, 2013 We consider the 2D critical Ising model with spatially periodic boundary conditions. It is shown that for a suitable reparametrization of the known Boltzmann weights the transfer matrix becomes a polynomial in the variable $\csc(4u)$, being $u$ the spectral parameter.
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On zero-remainder conditions in the Bethe ansatz
Journal of High Energy Physics, 2020 We prove that physical solutions to the Heisenberg spin chain Bethe ansatz equations are exactly obtained by imposing two zero-remainder conditions. This bridges the gap between different criteria, yielding an alternative proof of a recently devised ...
Etienne Granet, Jesper Lykke Jacobsen
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Exact solution of the quantum integrable model associated with the Motzkin spin chain
Journal of High Energy Physics, 2023 The Motzkin spin chain is a spin-1 frustration-free model introduced by Shor & Movassagh. The ground state is constructed by mapping random walks on the upper half of the square lattice to spin configurations. It has unusually large entanglement entropy [
Kun Hao +2 more
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