Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Lukyanov, Sergei L."'
Publikováno v:
Nucl. Phys. B 1006 (2024) 116624
It is known that for the Heisenberg XXZ spin-$\frac{1}{2}$ chain in the critical regime, the scaling limit of the vacuum Bethe roots yields an infinite set of numbers that coincide with the energy spectrum of the quantum mechanical 3D anharmonic osci
Externí odkaz:
http://arxiv.org/abs/2406.12102
Autor:
Kotousov, Gleb A., Lukyanov, Sergei L.
The subject matter of this work is a 1D quantum spin - $\frac{1}{2}$ chain associated with the inhomogeneous six-vertex model possessing an additional ${\cal Z}_r$ symmetry. The model is studied in a certain parametric domain, where it is critical. W
Externí odkaz:
http://arxiv.org/abs/2305.03620
Autor:
Roy, Ananda, Lukyanov, Sergei L.
Publikováno v:
Nature Communications 14, 7433 (2023)
Confinement of topological excitations into particle-like states - typically associated with theories of elementary particles - are known to occur in condensed matter systems, arising as domain-wall confinement in quantum spin chains. However, invest
Externí odkaz:
http://arxiv.org/abs/2302.06289
Autor:
Kotousov, Gleb A., Lukyanov, Sergei L.
An integrable system is introduced, which is a generalization of the $\mathfrak{sl}(2)$ quantum affine Gaudin model. Among other things, the Hamiltonians are constructed and their spectrum is calculated within the ODE/IQFT approach. The model fits wi
Externí odkaz:
http://arxiv.org/abs/2106.01238
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, which reproduces the modular invariant partition function from the 2001 pa
Externí odkaz:
http://arxiv.org/abs/2010.10603
Publikováno v:
SIGMA 17 (2021), 025, 29 pages
The inhomogeneous six-vertex model is a 2$D$ multiparametric integrable statistical system. In the scaling limit it is expected to cover different classes of critical behaviour which, for the most part, have remained unexplored. For general values of
Externí odkaz:
http://arxiv.org/abs/2010.10615
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 numerical analysis of the Bethe ansatz equations as well as the powerful
Externí odkaz:
http://arxiv.org/abs/2010.10613
Autor:
Kotousov, Gleb A., Lukyanov, Sergei L.
Publikováno v:
J. High Energ. Phys. 2020, 29 (2020)
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, quantum AKNS, paperclip and KdV integrable structures, they are built from
Externí odkaz:
http://arxiv.org/abs/1910.05947
Autor:
Kotousov, Gleb A., Lukyanov, Sergei L.
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 with numerical work, this has lead us to formulate a set of conjectur
Externí odkaz:
http://arxiv.org/abs/1906.07081
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. It is argued that the computation of the density of Bethe states of th
Externí odkaz:
http://arxiv.org/abs/1903.05033