Bethe ansatz solvable multi-chain quantum systems

AA Zvyagin - Journal of Physics A: Mathematical and General, 2001 - iopscience.iop.org
In this article we review recent developments in the one-dimensional Bethe ansatz solvable
multi-chain quantum models. The algebraic version of the Bethe ansatz (the quantum …

Finite-temperature dynamical correlations in massive integrable quantum field theories

FHL Essler, RM Konik - Journal of Statistical Mechanics: Theory …, 2009 - iopscience.iop.org
We consider the finite-temperature frequency and momentum-dependent two-point functions
of local operators in integrable quantum field theories. We focus on the case where the zero …

Kondo effect in the isotropic Heisenberg spin chain

P Kattel, PR Pasnoori, JH Pixley, P Azaria, N Andrei - Physical Review B, 2024 - APS
We investigate the boundary effects that arise when spin-1 2 impurities interact with the
edges of the antiferromagnetic spin-1 2 Heisenberg chain through spin exchange …

The spin chain and its finite-size spectrum

H Frahm, S Gehrmann, RI Nepomechie… - Journal of High Energy …, 2023 - Springer
A bstract Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-
periodic\({D} _3^{(2)}\) spin chain. Supported by a detailed symmetry analysis, we determine …

Two loop integrability for Chern-Simons theories with 𝒩= 6 supersymmetry

JA Minahan, W Schulgin… - Journal of High Energy …, 2009 - iopscience.iop.org
We consider two-loop anomalous dimensions for fermionic operators in the ABJM model
and the ABJ model. We find the appropriate Hamiltonian and show that it is consistent with a …

Continuum limit of the integrable sl (2/1) 3–3 superspin chain

FHL Essler, H Frahm, H Saleur - Nuclear Physics B, 2005 - Elsevier
By a combination of analytical and numerical techniques, we analyze the continuum limit of
the integrable 3⊗ 3¯⊗ 3⊗ 3¯⋯ sl (2/1) superspin chain. We discover profoundly new …

The arboreal gas and the supersphere sigma model

JL Jacobsen, H Saleur - Nuclear Physics B, 2005 - Elsevier
We discuss the relationship between the phase diagram of the Q= 0 state Potts model, the
arboreal gas model, and the supersphere sigma model S0, 2= OSP (1/2)/OSP (0/2). We …

Open tJ chain with boundary impurities

G Bedürftig, H Frahm - Journal of Physics A: Mathematical and …, 1999 - iopscience.iop.org
We study integrable boundary conditions for the supersymmetric tJ model of correlated
electrons which arise when combining static scattering potentials with dynamical impurities …

Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional tJ model

HQ Zhou, XY Ge, J Links, MD Gould - Nuclear Physics B, 1999 - Elsevier
Integrable Kondo impurities in two cases of the one-dimensional tJ model are studied by
means of the boundary Z 2-graded quantum inverse scattering method. The boundary K …

Universal R-matrix as integral operator

S Derkachov, D Karakhanyan, R Kirschner - Nuclear Physics B, 2001 - Elsevier
We derive the integral operator form for the general rational solution of the Yang–Baxter
equation with sℓ (2| 1) symmetry. Considering the defining relations for the kernel of the R …