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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)

- 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)

- 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)

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)

- 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)

- Vahe Gasparyan, Tigran Hakobyan, Vanik Galstyan, Arthur Hairapetyan
- Asian cardiovascular & thoracic annals
- 2007

- T Hakobyan, A Sedrakyan
- 1994

We use the functional representation of Heisenberg-Weyl group and obtain equation for the spectrum of the model, which is more complicated than Bethes ones, but can be written explicitly through theta functions.

- Gabriel G. Balint-Kurti, Alexander V. Bogdanov, +4 authors Irina Shoshmina
- Trans. Computational Science
- 2005