[HTML][HTML] Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
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 …
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 …
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 …
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
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 …
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
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 …
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
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 …
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 …
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 …
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 …
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 …
integrable AdS 2 superstrings, where the difference-form of the S-matrix can be exploited to …