85 citations · 311 across the 11 of their papers we have counts for
11 papers
The two-boundary Temperley-Lieb algebra
Jan de Gier, Alexander Nichols
We study a two-boundary extension of the Temperley-Lieb algebra which has recently arisen in statistical mechanics. This algebra lies in a quotient of the affine Hecke algebra of t…
Structure of the two-boundary XXZ model with non-diagonal boundary terms
A. Nichols
We study the integrable XXZ model with general non-diagonal boundary terms at both ends. The Hamiltonian is considered in terms of a two boundary extension of the Temperley-Lieb al…
The Temperley-Lieb algebra and its generalizations in the Potts and XXZ models
A. Nichols
We discuss generalizations of the Temperley-Lieb algebra in the Potts and XXZ models. These can be used to describe the addition of different types of integrable boundary terms. We…
Spectral equivalences and symmetry breaking in integrable SU_q(N) spin chains with boundaries
A. Nichols
We consider the SU_q (N) invariant spin chain with diagonal and non-diagonal integrable boundary terms. The algebraic study of spin chains with different types of boundary terms is…
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…
One-boundary Temperley-Lieb algebras in the XXZ and loop models
A. Nichols, V. Rittenberg, J. de Gier
We give an exact spectral equivalence between the quantum group invariant XXZ chain with arbitrary left boundary term and the same XXZ chain with purely diagonal boundary terms. Th…