Hydrodynamic diffusion in integrable systems

J De Nardis, D Bernard, B Doyon - Physical review letters, 2018 - APS
We show that hydrodynamic diffusion is generically present in many-body, one-dimensional
interacting quantum and classical integrable models. We extend the recently developed …

Foundations of the AdS5× S5 superstring: I

G Arutyunov, S Frolov - Journal of Physics A: Mathematical and …, 2009 - iopscience.iop.org
We review the recent advances towards finding the spectrum of the AdS 5× S 5 superstring.
We thoroughly explain the theoretical techniques which should be useful for the ultimate …

Application of massive integrable quantum field theories to problems in condensed matter physics

FHL Essler, RM Konik - … Physics: Ian Kogan Memorial Collection (In …, 2005 - World Scientific
We review applications of the sine-Gordon model, the O (3) non-linear sigma model, the U
(1) Thirring model, and the O (N) Gross–Neveu model to quasi one-dimensional quantum …

The superstring worldsheet matrix and crossing symmetry

RA Janik - Physical Review D—Particles, Fields, Gravitation, and …, 2006 - APS
An S matrix satisfying the Yang-Baxter equation with symmetries relevant to the AdS 5× S 5
superstring recently has been determined up to an unknown scalar factor. Such scalar …

Diagonal crossed products by duals of quasi-quantum groups

F Hausser, F Nill - Reviews in Mathematical Physics, 1999 - World Scientific
A two-sided coaction of a Hopf algebra on an associative algebra ℳ is an algebra map of the
form, where (λ, ρ) is a commuting pair of left and right-coactions on ℳ, respectively. Denoting …

The Zamolodchikov–Faddeev algebra for AdS5× S5 superstring

G Arutyunov, S Frolov, M Zamaklar - Journal of High Energy …, 2007 - iopscience.iop.org
Abstract We discuss the Zamolodchikov–Faddeev algebra for the superstring sigma-model
on AdS 5× S 5. We find the canonical fraktur s fraktur u (2| 2) 2 invariant S-matrix satisfying …

Introduction to Yangian symmetry in integrable field theory

NJ MacKay - International Journal of Modern Physics A, 2005 - World Scientific
INTRODUCTION TO YANGIAN SYMMETRY IN INTEGRABLE FIELD THEORY | International
Journal of Modern Physics A World Scientific Search This Journal Anywhere Quick Search in …

On AdS5× S5 string S-matrix

G Arutyunov, S Frolov - Physics Letters B, 2006 - Elsevier
Recently two interesting conjectures about the string S-matrix on AdS5× S5 have been
made. First, assuming the existence of a Hopf algebra symmetry Janik derived a functional …

Currents, charges, and canonical structure of pseudodual chiral models

T Curtright, C Zachos - Physical Review D, 1994 - APS
We discuss the pseudodual chiral model to illustrate a class of two-dimensional theories
which have an infinite number of conservation laws but allow particle production, at variance …

Yangian double

SM Khoroshkin, VN Tolstoy - Letters in Mathematical Physics, 1996 - Springer
Studying the algebraic structure of the double DY (g) of the Yangian Y (g), we present the
triangular decomposition of DY (g) and a factorization for the canonical pairing of the …