209 citations · 1.4k across the 70 of their papers we have counts for
4 papers · 1 filter
New algebras from the elliptic algebra
J. Avan, L. Frappat, M. Rossi +1
We construct operators t(z) in the elliptic algebra introduced by Foda et al. . They close an exchange algebra when p^m=q^{c+2} for m integer. In ad…
Poisson structures on the center of the elliptic algebra A_{p,q}(sl(2)_c)
J. Avan, L. Frappat, M. Rossi +1
It is shown that the elliptic algebra A_{p,q}(sl(2)_c) has a non trivial center at the critical level , generalizing the result of Reshetikhin and Semenov-Tian-Shansky for tr…
Anyonic Realization of the Quantum Affine Lie Superalgebra U_q(A(M,N)^{(1)})
L. Frappat, A. Sciarrino, S. Sciuto +1
We give a realization of the quantum affine Lie superalgebras U_q(A(M,N))^(1) in terms of anyons defined on a one or two-dimensional lattice, the deformation parameter q being rela…
Anyonic Realization of the Quantum Affine Lie Algebras
L. Frappat, A. Sciarrino, S. Sciuto +1
We give a realization of the quantum affine Lie algebras $\uqa$ and $\uqc$ in terms of anyons defined on a one-dimensional chain (or on a two-dimensional lattice), the deformation…