90 citations · 865 across the 43 of their papers we have counts for
18 papers · 1 filter
Integrability of rank-two web models
Augustin Lafay, Azat M. Gainutdinov, Jesper Lykke Jacobsen
We continue our work on lattice models of webs, which generalise the well-known loop models to allow for various kinds of bifurcations [arXiv:2101.00282, arXiv:2107.10106]. Here we…
Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via Symmetry
Dmitry Chernyak, Azat M. Gainutdinov, Jesper Lykke Jacobsen +1
We derive by the traditional algebraic Bethe ansatz method the Bethe equations for the general open XXZ spin chain with non-diagonal boundary terms under the Nepomechie constraint…
-invariant non-compact boundary conditions for the XXZ spin chain
Dmitry Chernyak, Azat M. Gainutdinov, Hubert Saleur
We introduce new -invariant boundary conditions for the open XXZ spin chain. For generic values of we couple the bulk Hamiltonian to an infinite-dimensional…
Combinatorial Quantisation of GL(1|1) Chern-Simons Theory I: The Torus
N. Aghaei, A. M. Gainutdinov, M. Pawelkiewicz +1
Chern-Simons Theories with gauge super-groups appear naturally in string theory and they possess interesting applications in mathematics, e.g. for the construction of knot and link…
Topological defects in lattice models and affine Temperley-Lieb algebra
J. Belletête, A. M. Gainutdinov, J. L. Jacobsen +2
This paper is the first in a series where we attempt to define defects in critical lattice models that give rise to conformal field theory topological defects in the continuum limi…
A fusion for the periodic Temperley-Lieb algebra and its continuum limit
Azat M. Gainutdinov, Jesper L. Jacobsen, Hubert Saleur
The equivalent of fusion in boundary conformal field theory (CFT) can be realized quite simply in the context of lattice models by essentially glueing two open spin chains. This ha…