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Yang-Baxter and the Boost: splitting the difference
- MathematicsSciPost Physics
- 2021
In this paper we continue our classification of regular solutions of
the Yang-Baxter equation using the method based on the spin chain boost
operator developed in [1]. We provide details on how to…
Solutions to the constant Yang-Baxter equation in all dimensions
- Mathematics
- 2018
We will present solutions to the constant Yang-Baxter equation, in any dimension $n$. More precisely, for any $n$, we will create an infinite family of $n^2$ by $n^2$ matrices which are solutions to…
Explicit R-matrices for inhomogeneous 3D chiral Potts models: Integrability and the action formulation for IM
- PhysicsAnnals of Physics
- 2021
Series of the solutions to Yang–Baxter equations: Hecke type matrices and descendant R-, L-operators
- Mathematics, PhysicsNuclear Physics B
- 2018
Free fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
- PhysicsJournal of High Energy Physics
- 2021
In this paper we first demonstrate explicitly that the new models of integrable nearest-neighbour Hamiltonians recently introduced in PRL 125 (2020) 031604 [36] satisfy the so-called free fermion…
Integrable approach to simple exclusion processes with boundaries. Review and progress
- Physics
- 2014
We study the matrix ansatz in the quantum group framework, applying integrable systems techniques to statistical physics models. We start by reviewing the two approaches, and then show how one can…
Generalised Onsager Algebra in Quantum Lattice Models
- MathematicsSciPost Physics
- 2022
The Onsager algebra is one of the cornerstones of exactly solvable models in statistical mechanics. Starting from the generalised Clifford algebra, we demonstrate its relations to the graph…
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