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An algebraic approach to the Hubbard model

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An algebraic approach to the Hubbard model. / Leeuw, Marius de; Regelskis, Vidas.

In: Phys. Lett. A, Vol. 380, No. 5-6, 17.12.2015, p. 645-653.

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

Harvard

Leeuw, MD & Regelskis, V 2015, 'An algebraic approach to the Hubbard model', Phys. Lett. A, vol. 380, no. 5-6, pp. 645-653. https://doi.org/10.1016/j.physleta.2015.12.013

APA

Leeuw, M. D., & Regelskis, V. (2015). An algebraic approach to the Hubbard model. Phys. Lett. A, 380(5-6), 645-653. https://doi.org/10.1016/j.physleta.2015.12.013

Vancouver

Leeuw MD, Regelskis V. An algebraic approach to the Hubbard model. Phys. Lett. A. 2015 Dec 17;380(5-6):645-653. https://doi.org/10.1016/j.physleta.2015.12.013

Author

Leeuw, Marius de ; Regelskis, Vidas. / An algebraic approach to the Hubbard model. In: Phys. Lett. A. 2015 ; Vol. 380, No. 5-6. pp. 645-653.

Bibtex - Download

@article{e75ec7fe790746048a29bbc5b0ed98d9,
title = "An algebraic approach to the Hubbard model",
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.",
keywords = "math-ph, cond-mat.str-el, hep-th, math.MP, nlin.SI",
author = "Leeuw, {Marius de} and Vidas Regelskis",
note = "10 pages; v2: references added",
year = "2015",
month = dec,
day = "17",
doi = "10.1016/j.physleta.2015.12.013",
language = "English",
volume = "380",
pages = "645--653",
journal = "Phys. Lett. A",
number = "5-6",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - An algebraic approach to the Hubbard model

AU - Leeuw, Marius de

AU - Regelskis, Vidas

N1 - 10 pages; v2: references added

PY - 2015/12/17

Y1 - 2015/12/17

N2 - 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.

AB - 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.

KW - math-ph

KW - cond-mat.str-el

KW - hep-th

KW - math.MP

KW - nlin.SI

U2 - 10.1016/j.physleta.2015.12.013

DO - 10.1016/j.physleta.2015.12.013

M3 - Article

VL - 380

SP - 645

EP - 653

JO - Phys. Lett. A

JF - Phys. Lett. A

IS - 5-6

ER -

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