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- Tigran Hakobyan
- 2009

The su(n) symmetric antiferromagnetic finite chain with the fundamental representation and nearest-neighbor interaction is studied. A partial ordering between the lowest energy levels E (Y) in multiplet sectors corresponding to different Young tableaux Y is established for the chains with arbitrary site-dependent couplings. For the open chains it is proved… (More)

We give a simple geometric explanation for the similarity transformation mapping one-dimensional conformal mechanics to free-particle system. Namely, we show that this transformation corresponds to the inversion of the Klein model of Lobachevsky space (non-compact complex projective plane) f I CP 1. We also extend this picture to the N = 2k superconformal… (More)

The Lieb–Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU (N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among the states from equivalent representations are nondegenerate and ordered according to the dominance order of corresponding Young… (More)

- J Ambjørn, A Avakyan, T Hakobyan, A Sedrakyan
- 1998

We have constructed a one dimensional exactly solvable model, which is based on the t-J model of strongly correlated electrons, but which has additional quantum group symmetry , ensuring the degeneration of states. We use Bethe Ansatz technique to investigate this model. The thermodynamic limit of the model is considered and equations for different density… (More)

- A Avakyan, T Hakobyan, A Sedrakyan
- 1996

We construct the family of spin chain hamiltonians, which have affine quantum group symmetry U q ˆ g. Their eigenvalues coincide with the eigen-values of the usual spin chain hamiltonians, but have the degeneracy of levels, corresponding to affine U q ˆ g. The space of states of these spin chains is formed by the tensor product of fully reducible… (More)

- T Hakobyan, A Sedrakyan
- 1995

We show that the action of universal R-matrix of affine U q sl 2 quantum algebra, when q is a root of unity, can be renormalized by some scalar factor to give a well defined nonsingular expression, satisfying Yang-Baxter equation. It reduced to intertwining operators of all representations , corresponding to Chiral Potts, if the parameters of these… (More)

- T Hakobyan, A Sedrakyan
- 1995

We construct the family of spin chain Hamiltonians, which have affine U q g guantum group symmetry. Their eigenvalues coincides with the eigenvalues of the usual spin chain Hamiltonians which have non-affine U q g 0 quantum group symmetry, but have the degeneracy of levels, corresponding to affine U q g. The space of states of these chaines are formed by… (More)

- J Ambjorn, A Avakyan, T Hakobyan, A Sedrakyan
- 1997

We consider exactly solvable 1d multi-band fermionic Hamiltonians, which have affine quantum group symmetry for all values of the deformation. The simplest Hamiltonian is a multi-band t − J model with vanishing spin-spin interaction, which is the affinization of an underlying XXZ model. We also find a multi-band generalization of standard t − J model… (More)