The Yangian symmetry of the Hubbard Model

Details The Yangian symmetry of the Hubbard Model The Yangian symmetry of the Hubbard Model

1993-10-23

arxiv.org/abs/hep-th/9310158v1

Phys.Lett. A190 (1994) 238-242

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, ITP-SB-93-66

Scientific paper

10.1016/0375-9601(94)90748-X

We discovered new hidden symmetry of the one-dimensional Hubbard model. We showthat the one-dimensional Hubbard model on the infinite chain has the infinite-dimensional algebra of symmetries. This algebra is a direct sum of two $ sl(2) $-Yangians. This $ Y(sl(2)) \oplus Y(sl(2)) $ symmetry is an extension of the well-known $ sl(2) \oplus sl(2) $ . The deformation parameters of the Yangians are equal up to the signs to the coupling constant of the Hubbard model hamiltonian.

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