85 citations · 616 across the 42 of their papers we have counts for
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Magic in the spectra of the XXZ quantum chain with boundaries at Delta=0 and Delta=-1/2
Jan de Gier, Alexander Nichols, Pavel Pyatov +1
We show that from the spectra of the U_q (sl(2)) symmetric XXZ spin-1/2 finite quantum chain at Delta=-1/2 (q=e^{pi i/3}) one can obtain the spectra of certain XXZ quantum chains w…
Bethe Ansatz for the Temperley-Lieb loop model with open boundaries
Jan de Gier, Pavel Pyatov
We diagonalise the Hamiltonian of the Temperley-Lieb loop model with open boundaries using a coordinate Bethe Ansatz calculation. We find that in the groundstate sector of the loop…
Quantum matrix algebra for the SU(n) WZNW model
P. Furlan, L. K. Hadjiivanov, A. P. Isaev +3
The zero modes of the chiral SU(n) WZNW model give rise to an intertwining quantum matrix algebra A generated by an n x n matrix a=(a^i_α) (with noncommuting entries) and by ration…
A Finite Dimensional Gauge Problem in the WZNW Model
M. Dubois-Violette, P. Furlan, L. K. Hadjiivanov +3
The left and right zero modes of the level k SU(n) WZNW model give rise to a pair of isomorphic (left and right) mutually commuting quantum matrix algebras. For a deformation param…
The Differential Calculus on Quantum Linear Groups
L. D. Faddeev, P. N. Pyatov
The non-commutative differential calculus on the quantum groups is constructed. The quantum external algebra proposed contains the same number of generators as in the cla…
Covariant differential complexes on quantum linear groups
A. P. Isaev, P. N. Pyatov
We consider the possible covariant external algebra structures for Cartan's 1-forms on GL_q(N) and SL_q(N). We base upon the following natural postulates: 1. the invariant 1-forms…
GLq(N)-Covariant Quantum Algebras and Covariant Differential Calculus
A. P. Isaev, P. N. Pyatov
We consider GLq(N)-covariant quantum algebras with generators satisfying quadratic polynomial relations. We show that, up to some inessential arbitrariness, there are only two kind…