An algebraic approach to the Hubbard model

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JournalPhys. Lett. A
DatePublished - 17 Dec 2015
Issue number5-6
Volume380
Pages (from-to)645-653
Original languageEnglish

Abstract

We study the algebraic structure of an integrable Hubbard-Shastry type lattice model associated with the centrally extended su(2|2) superalgebra. This superalgebra underlies Beisert's AdS/CFT worldsheet R-matrix and Shastry's R-matrix. The considered model specializes to the one-dimensional Hubbard model in a certain limit. We demonstrate that Yangian symmetries of the R-matrix specialize to the Yangian symmetry of the Hubbard model found by Korepin and Uglov. Moreover, we show that the Hubbard model Hamiltonian has an algebraic interpretation as the so-called secret symmetry. We also discuss Yangian symmetries of the A and B models introduced by Frolov and Quinn.

Bibliographical note

10 pages; v2: references added

    Research areas

  • math-ph, cond-mat.str-el, hep-th, math.MP, nlin.SI

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