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7 papers · 2 filters
Heun operator of Lie type and the modified algebraic Bethe ansatz
Pierre-Antoine Bernard, Nicolas Crampe, Dounia Shaaban Kabakibo +1
The generic Heun operator of Lie type is identified as a certain -Gaudin magnet Hamiltonian in a magnetic field. By using the modified algebraic Bethe ansatz introduced to diag…
Relativity without light: A new proof of Ignatowski's theorem
Jean-Philippe Anker, Francois Ziegler
V. Ignatowski (1910) showed that assumptions about light are not necessary to obtain Lorentzian kinematics as one of only few possibilities. We give a much simplified proof of his…
Entanglement of Free Fermions on Hadamard Graphs
Nicolas Crampe, Krystal Guo, Luc Vinet
Free Fermions on vertices of distance-regular graphs are considered. Bipartition are defined by taking as one part all vertices at a given distance from a reference vertex. The gro…
Baxterisation of the fused Hecke algebra and R-matrices with gl(N)-symmetry
N. Crampe, L. Poulain d'Andecy
We give an explicit Baxterisation formula for the fused Hecke algebra and its classical limit for the algebra of fused permutations. These algebras replace the Hecke algebra and th…
Topological defects in periodic RSOS models and anyonic chains
J. Belletête, A. M. Gainutdinov, J. L. Jacobsen +2
We provide a lattice regularization of all topological defects in minimal models CFTs using RSOS and anyonic spin chains. For defects of type , we connect our result with th…
The Heun-Racah and Heun-Bannai-Ito algebras
Geoffroy Bergeron, Nicolas Crampé, Satoshi Tsujimoto +2
This paper introduces and studies the Heun-Racah and Heun-Bannai-Ito algebras abstractly and establishes the relation between these new algebraic structures and generalized Heun-ty…