15 citations · 25 across the 6 of their papers we have counts for
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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…
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…
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…