The Yangian symmetry of the Hubbard model

D. B. Uglov; V. E. Korepin

doi:10.1016/0375-9601(94)90748-X

The Yangian symmetry of the Hubbard model

D. B. Uglov
, V. E. Korepin

Institute for Theoretical Physics

Stony Brook University

Stony Brook University

Research output: Contribution to journal › Article › peer-review

93 Scopus citations

Abstract

We have found a new hidden symmetry of the one-dimensional Hubbard model. We show that the one-dimensional Hubbard model on an infinite chain has an infinite-dimensional algebra of symmetries. This algebra is a direct sum of two sl(2)-Yangians. This Y(sl(2))⊕Y(sl(2)) symmetry is an extension of the well-known sl(2)⊕sl(2) one. The deformation parameters of the Yangians are proportional to the coupling constant of the Hubbard model Hamiltonian.

Original language	English
Pages (from-to)	238-242
Number of pages	5
Journal	Physics Letters A
Volume	190
Issue number	3-4
DOIs	https://doi.org/10.1016/0375-9601(94)90748-X
State	Published - Jul 25 1994

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title = "The Yangian symmetry of the Hubbard model",

abstract = "We have found a new hidden symmetry of the one-dimensional Hubbard model. We show that the one-dimensional Hubbard model on an infinite chain has an infinite-dimensional algebra of symmetries. This algebra is a direct sum of two sl(2)-Yangians. This Y(sl(2))⊕Y(sl(2)) symmetry is an extension of the well-known sl(2)⊕sl(2) one. The deformation parameters of the Yangians are proportional to the coupling constant of the Hubbard model Hamiltonian.",

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AB - We have found a new hidden symmetry of the one-dimensional Hubbard model. We show that the one-dimensional Hubbard model on an infinite chain has an infinite-dimensional algebra of symmetries. This algebra is a direct sum of two sl(2)-Yangians. This Y(sl(2))⊕Y(sl(2)) symmetry is an extension of the well-known sl(2)⊕sl(2) one. The deformation parameters of the Yangians are proportional to the coupling constant of the Hubbard model Hamiltonian.

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JO - Physics Letters A

JF - Physics Letters A

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The Yangian symmetry of the Hubbard model

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