[HTML][HTML] Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT

M De Leeuw, C Paletta, A Pribytok, AL Retore… - Journal of High Energy …, 2021 - Springer
A bstract In this paper we first demonstrate explicitly that the new models of integrable
nearest-neighbour Hamiltonians recently introduced in PRL 125 (2020) 031604 [36] satisfy …

[HTML][HTML] Modified algebraic Bethe ansatz for XXZ chain on the segment–II–general cases

S Belliard, RA Pimenta - Nuclear Physics B, 2015 - Elsevier
The spectral problem of the Heisenberg XXZ spin-1 2 chain on the segment is investigated
within a modified algebraic Bethe ansatz framework. We consider in this work the most …

[HTML][HTML] Modified algebraic Bethe ansatz for XXZ chain on the segment–I: Triangular cases

S Belliard - Nuclear Physics B, 2015 - Elsevier
The modified algebraic Bethe ansatz, introduced by Crampé and the author [8], is used to
characterize the spectral problem of the Heisenberg XXZ spin-1 2 chain on the segment with …

Integrable approach to simple exclusion processes with boundaries. Review and progress

N Crampé, E Ragoucy, M Vanicat - Journal of Statistical …, 2014 - iopscience.iop.org
We study the matrix ansatz in the quantum group framework, applying integrable systems
techniques to statistical physics models. We start by reviewing the two approaches, and then …

[HTML][HTML] Modified algebraic Bethe ansatz for XXZ chain on the segment–III–Proof

J Avan, S Belliard, N Grosjean, RA Pimenta - Nuclear Physics B, 2015 - Elsevier
In this paper, we prove the off-shell equation satisfied by the transfer matrix associated with
the XXZ spin-1 2 chain on the segment with two generic integrable boundaries acting on the …

Open spin chains with generic integrable boundaries: Baxter equation and Bethe ansatz completeness from separation of variables

N Kitanine, JM Maillet, G Niccoli - Journal of Statistical …, 2014 - iopscience.iop.org
We solve the longstanding problem of defining a functional characterization of the spectrum
of the transfer matrix associated with the most general spin-1/2 representations of the six …

[图书][B] Algebraic Bethe ansatz and correlation functions: an advanced course

N Slavnov - 2022 - World Scientific
This chapter describes a general scheme for constructing quantum integrable models within
the Quantum Inverse Scattering Method (QISM) framework. Much of what is described here …

Why scalar products in the algebraic Bethe ansatz have determinant representation

S Belliard, NA Slavnov - Journal of High Energy Physics, 2019 - Springer
A bstract 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 …

[HTML][HTML] Geometry of massless scattering in integrable superstring

A Fontanella, A Torrielli - Journal of High Energy Physics, 2019 - Springer
A bstract We consider the action of the q-deformed Poincaré superalgebra on the massless
non-relativistic R-matrix in ordinary (undeformed) integrable AdS 2× S 2× T 6 type IIB …

[HTML][HTML] A study of integrable form factors in massless relativistic AdS2

D Bielli, V Gautam, A Torrielli - Journal of High Energy Physics, 2023 - Springer
A bstract In this paper we initiate the study of form factors for the massless scattering of
integrable AdS 2 superstrings, where the difference-form of the S-matrix can be exploited to …