An algebraic approach to the Hubbard model

Marius de Leeuw, Vidas Regelskis

Research output: Contribution to journalArticlepeer-review


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

Bibliographical note

10 pages; v2: references added


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

Cite this