31 citations · 154 across the 14 of their papers we have counts for
15 papers
Scaling limit of -functions for the invariant inhomogeneous XXZ spin- chain near free fermion point
Gleb A. Kotousov, Sergei L. Lukyanov, Daria A. Shabetnik
At the beginning of the 70's, Baxter introduced a multiparametric generalization of the six-vertex model. This integrable system has been found to exhibit a remarkable variety of c…
Scaling limit of the ground state Bethe roots for the inhomogeneous XXZ spin- chain
Sascha Gehrmann, Gleb A. Kotousov, Sergei L. Lukyanov
It is known that for the Heisenberg XXZ spin- chain in the critical regime, the scaling limit of the vacuum Bethe roots yields an infinite set of numbers that coincide…
Integrability and renormalizability for the fully anisotropic principal chiral field and its deformations
G. A. Kotousov, D. A. Shabetnik
For the class of dimensional field theories referred to as the non-linear sigma models, there is known to be a deep connection between classical integrability and one-loop re…
On the scaling behaviour of an integrable spin chain with symmetry
Gleb A. Kotousov, Sergei L. Lukyanov
The subject matter of this work is a 1D quantum spin - chain associated with the inhomogeneous six-vertex model possessing an additional symmetry. The mo…
Integrable sigma models at RG fixed points: quantisation as affine Gaudin models
Gleb A. Kotousov, Sylvain Lacroix, Jörg Teschner
The goal of this paper is to make first steps towards the quantisation of integrable non-linear sigma models using the formalism of affine Gaudin models, by approaching these theor…
ODE/IQFT correspondence for the generalized affine Gaudin model
Gleb A. Kotousov, Sergei L. Lukyanov
An integrable system is introduced, which is a generalization of the quantum affine Gaudin model. Among other things, the Hamiltonians are constructed and their…
Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model
Vladimir V. Bazhanov, Gleb A. Kotousov, Sergii M. Koval +1
The inhomogeneous six-vertex model is a 2 multiparametric integrable statistical system. In the scaling limit it is expected to cover different classes of critical behaviour whi…
Scaling limit of the invariant inhomogeneous six-vertex model
Vladimir V. Bazhanov, Gleb A. Kotousov, Sergii M. Koval +1
The work contains a detailed study of the scaling limit of a certain critical, integrable inhomogeneous six-vertex model subject to twisted boundary conditions. It is based on a nu…
Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain
Vladimir V. Bazhanov, Gleb A. Kotousov, Sergei L. Lukyanov
This work concerns the quantum Lorentzian and Euclidean black hole non-linear sigma models. For the Euclidean black hole sigma model an equilibrium density matrix is proposed, whic…
Spectrum of the reflection operators in different integrable structures
Gleb A. Kotousov, Sergei L. Lukyanov
The reflection operators are the simplest examples of the non-local integrals of motion, which appear in many interesting problems in integrable CFT. For the so-called Fateev, quan…
Bethe state norms for the Heisenberg spin chain in the scaling limit
Gleb A. Kotousov, Sergei L. Lukyanov
In this paper we discuss the norms of the Bethe states for the spin one-half Heisenberg chain in the critical regime. Our analysis is based on the ODE/IQFT correspondence. Together…
On the scaling behaviour of the alternating spin chain
Vladimir V. Bazhanov, Gleb A. Kotousov, Sergii M. Koval +1
In this note we report the results of our study of a 1D integrable spin chain whose critical behaviour is governed by a CFT possessing a continuous spectrum of scaling dimensions.…
On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems
Vladimir V. Bazhanov, Gleb A. Kotousov, Sergei L. Lukyanov
A common approach to the quantization of integrable models starts with the formal substitution of the Yang-Baxter Poisson algebra with its quantum version. However it is difficult…
Quantum transfer-matrices for the sausage model
Vladimir V. Bazhanov, Gleb A. Kotousov, Sergei L. Lukyanov
In this work we revisit the problem of the quantization of the two-dimensional O(3) non-linear sigma model and its one-parameter integrable deformation -- the sausage model. Our co…
Winding vacuum energies in a deformed O(4) sigma model
Vladimir V. Bazhanov, Gleb A. Kotousov, Sergei L. Lukyanov
We consider the problem of calculating the Casimir energies in the winding sectors of Fateev's SS-model, which is an integrable two-parameter deformation of the O(4) non-linear sig…