Co-ideal quantum affine algebra and boundary scattering of the deformed Hubbard chain

Marius De Leeuw; Takuya Matsumoto; Vidas Regelskis

doi:10.1088/1751-8113/45/6/065205

Co-ideal quantum affine algebra and boundary scattering of the deformed Hubbard chain

Marius De Leeuw, Takuya Matsumoto, Vidas Regelskis

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

4 Citations (Scopus)

Abstract

We consider boundary scattering for a semi-infinite one-dimensional deformed Hubbard chain with boundary conditions of the same type as for the Y = 0 giant graviton in the AdS/CFT correspondence. We show that the recently constructed quantum affine algebra of the deformed Hubbard chain has a co-ideal subalgebra which is consistent with the reflection (boundary YangBaxter) equation. We derive the corresponding reflection matrix and furthermore show that the aforementioned algebra in the rational limit specializes to the (generalized) twisted Yangian of the Y = 0 giant graviton.

Original language	English
Article number	065205
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	45
Issue number	6
DOIs	https://doi.org/10.1088/1751-8113/45/6/065205
Publication status	Published - 17 Feb 2012
Externally published	Yes

Access to Document

10.1088/1751-8113/45/6/065205

Cite this

@article{f55c2035aab24cba8068d459bf04d84d,

title = "Co-ideal quantum affine algebra and boundary scattering of the deformed Hubbard chain",

abstract = "We consider boundary scattering for a semi-infinite one-dimensional deformed Hubbard chain with boundary conditions of the same type as for the Y = 0 giant graviton in the AdS/CFT correspondence. We show that the recently constructed quantum affine algebra of the deformed Hubbard chain has a co-ideal subalgebra which is consistent with the reflection (boundary YangBaxter) equation. We derive the corresponding reflection matrix and furthermore show that the aforementioned algebra in the rational limit specializes to the (generalized) twisted Yangian of the Y = 0 giant graviton.",

author = "{De Leeuw}, Marius and Takuya Matsumoto and Vidas Regelskis",

year = "2012",

month = feb,

day = "17",

doi = "10.1088/1751-8113/45/6/065205",

language = "English",

volume = "45",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "6",

}

TY - JOUR

T1 - Co-ideal quantum affine algebra and boundary scattering of the deformed Hubbard chain

AU - De Leeuw, Marius

AU - Matsumoto, Takuya

AU - Regelskis, Vidas

PY - 2012/2/17

Y1 - 2012/2/17

N2 - We consider boundary scattering for a semi-infinite one-dimensional deformed Hubbard chain with boundary conditions of the same type as for the Y = 0 giant graviton in the AdS/CFT correspondence. We show that the recently constructed quantum affine algebra of the deformed Hubbard chain has a co-ideal subalgebra which is consistent with the reflection (boundary YangBaxter) equation. We derive the corresponding reflection matrix and furthermore show that the aforementioned algebra in the rational limit specializes to the (generalized) twisted Yangian of the Y = 0 giant graviton.

AB - We consider boundary scattering for a semi-infinite one-dimensional deformed Hubbard chain with boundary conditions of the same type as for the Y = 0 giant graviton in the AdS/CFT correspondence. We show that the recently constructed quantum affine algebra of the deformed Hubbard chain has a co-ideal subalgebra which is consistent with the reflection (boundary YangBaxter) equation. We derive the corresponding reflection matrix and furthermore show that the aforementioned algebra in the rational limit specializes to the (generalized) twisted Yangian of the Y = 0 giant graviton.

UR - http://www.scopus.com/inward/record.url?scp=84856530619&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/45/6/065205

DO - 10.1088/1751-8113/45/6/065205

M3 - Article

AN - SCOPUS:84856530619

SN - 1751-8113

VL - 45

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 6

M1 - 065205

ER -

Co-ideal quantum affine algebra and boundary scattering of the deformed Hubbard chain

Abstract

Access to Document

Other files and links

Fingerprint

Cite this