T-systems and Y-systems in integrable systems

A Kuniba, T Nakanishi, J Suzuki - Journal of Physics A …, 2011 - iopscience.iop.org
T-and Y-systems are ubiquitous structures in classical and quantum integrable systems.
They are difference equations having a variety of aspects related to commuting transfer …

The ode/im correspondence

P Dorey, C Dunning, R Tateo - Journal of Physics A …, 2007 - iopscience.iop.org
This paper reviews a recently discovered link between integrable quantum field theories and
certain ordinary differential equations in the complex domain. Along the way, aspects of …

Emergent hydrodynamics in integrable quantum systems out of equilibrium

OA Castro-Alvaredo, B Doyon, T Yoshimura - Physical Review X, 2016 - APS
Understanding the general principles underlying strongly interacting quantum states out of
equilibrium is one of the most important tasks of current theoretical physics. With …

On space of integrable quantum field theories

FA Smirnov, AB Zamolodchikov - Nuclear Physics B, 2017 - Elsevier
We study deformations of 2D Integrable Quantum Field Theories (IQFT) which preserve
integrability (the existence of infinitely many local integrals of motion). The IQFT are …

-deformed 2D quantum field theories

A Cavaglià, S Negro, IM Szécsényi, R Tateo - Journal of High Energy …, 2016 - Springer
A bstract It was noticed many years ago, in the framework of massless RG flows, that the
irrelevant composite operator\(\mathrm {T}\overline {\mathrm {T}}\), built with the components …

Quench dynamics and relaxation in isolated integrable quantum spin chains

FHL Essler, M Fagotti - Journal of Statistical Mechanics: Theory …, 2016 - iopscience.iop.org
We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz

VV Bazhanov, SL Lukyanov… - … in Mathematical Physics, 1996 - Springer
We construct the quantum versions of the monodromy matrices of KdV theory. The traces of
these quantum monodromy matrices, which will be called as “T-operators,” act in highest …

Integrable structure of conformal field theory II. Q-operator and DDV equation

VV Bazhanov, SL Lukyanov… - … in Mathematical Physics, 1997 - Springer
This paper is a direct continuation of 1 where we began the study of the integrable structures
in Conformal Field Theory. We show here how to construct the operators \bfQ_±(λ) which act …

Relaxation after quantum quenches in the spin- Heisenberg XXZ chain

M Fagotti, M Collura, FHL Essler, P Calabrese - Physical Review B, 2014 - APS
We consider the time evolution after quantum quenches in the spin-1 2 Heisenberg XXZ
quantum spin chain with Ising-type anisotropy. The time evolution of short-distance spin-spin …

Wrapping interactions and a new source of corrections to the spin-chain/string duality

J Ambjørn, RA Janik, C Kristjansen - Nuclear Physics B, 2006 - Elsevier
Assuming that the world-sheet sigma-model in the AdS/CFT correspondence is an
integrable quantum field theory, we deduce that there might be new corrections to the spin …