## 162 Citations

Fock representations of ZF algebras and R-matrices

- ArtLetters in Mathematical Physics
- 2020

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A variation of the Zamolodchikov–Faddeev algebra over a finite-dimensional Hilbert space <jats:inline-formula><jats:alternatives><jats:tex-math>$${\mathcal {H}}$$</jats:tex-math><mml:math…

The Q-Operator for the Quantum NLS Model

- PhysicsJournal of Mathematical Sciences
- 2019

In this paper we show that the operator introduced by A. A. Tsvetkov enjoys all the needed properties of a Q-operator. It is shown that the Q-operator of the XXX spin chain with generic values of…

Bethe ansatz solution of a nonlinear quantum field model in quasi-two dimensions linked to the Landau – Lifshitz equation

- Mathematics, Physics
- 2016

Integrable quantum field models are known to exist mostly in one space-dimension. Exploiting the concept of multi-time in integrable systems and a Lax matrix of higher scaling order, we construct a…

Construction and exact solution of a nonlinear quantum field model in quasi-higher dimension

- Physics
- 2015

Unraveling hidden hierarchies and dual structures in an integrable field model

- Physics
- 2012

An integrable field theory, due to path-independence on the space-time plane, should yield together with an infinite set of independent conserved charges also similar dual charges determining the…

Q A ] 2 8 M ar 2 00 4 ITEP-TH1 / 04 Representation theory and quantum integrability ∗

- Mathematics
- 2004

We describe new constructions of the infinite-dimensional representations of U(g) and Uq(g) for g being gl(N) and sl(N). The application of these constructions to the quantum integrable theories of…

Ju l 2 01 1 Yangians , S-matrices and AdS / CFT

- Physics
- 2011

This review is meant to be an account of the properties of the i nfinitedimensional quantum group (specifically, Yangian) symmetr y lying behind the integrability of the AdS/CFT spectral problem. In…

Quantum Fields on Noncommutative Spacetimes: Theory and Phenomenology

- Physics
- 2010

In the present work we review the twisted field construction of quantum field theory on noncommutative spacetimes based on twisted Poincare invariance. We present the latest development in the field,…

Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model ?

- Physics
- 2009

The basic model of the non-equilibrium low dimensional physics the so-called totally asymmetric exclusion process is related to the 'crystalline limit' (q ! 1) of the SUq(2) quantum algebra. Using…

The One-Dimensional Hubbard Model: Index

- Physics
- 2005

The description of a solid at a microscopic level is complex, involving the interaction of a huge number of its constituents, such as ions or electrons. It is impossible to solve the corresponding…