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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…
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…
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…
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…