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80 papers · 1 filter
Modified rational six vertex model on a rectangular lattice : new formula, homogeneous and thermodynamic limits
Matthieu Cornillault, Samuel Belliard
We continue the work of Belliard, Pimenta and Slavnov (2024) studying the modified rational six vertex model. We find another formula of the partition function for the inhomogeneou…
Enlargement of symmetry groups in physics: a practitioner's guide
Lehel Csillag, Julio Marny Hoff da Silva, Tudor Patuleanu
Wigner's classification has led to the insight that projective unitary representations play a prominent role in quantum mechanics. The physics literature often states that the theo…
-deformed Griffiths polynomials of Racah type
Nicolas Crampe, Luc Frappat, Julien Gaboriaud +1
New bivariate Griffiths polynomials of -Racah type are introduced and characterized. They generalize the polynomials orthogonal on the multinomial distribution introduced by R.…
-Griffiths polynomials: Bispectrality and biorthogonality
N. Crampe, L. Frappat, J. Gaboriaud +3
We introduce a generalization of bivariate Griffiths polynomials depending on an additional parameter . These -Griffiths polynomials are bivariate, bispectral and biorthogona…
Modified rational six vertex model on the rectangular lattice
S. Belliard, R. A. Pimenta, N. A. Slavnov
We consider a rational six vertex model on a rectangular lattice with boundary conditions that generalize the usual domain wall type. We find that the partition function of the inh…
Superspace realizations of the Bannai-Ito algebra
N. Crampe, H. De Bie, P. Iliev +1
A model of the Bannai-Ito algebra in a superspace is introduced. It is obtained from the three-fold tensor product of the basic realization of the Lie superalgebra in te…