The quantum affine origin of the AdS/CFT secret symmetry

Marius De Leeuw; Vidas Regelskis; Alessandro Torrielli

doi:10.1088/1751-8113/45/17/175202

The quantum affine origin of the AdS/CFT secret symmetry

Marius De Leeuw
, Vidas Regelskis
, Alessandro Torrielli

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

17 Citations (Scopus)

Abstract

We find a new quantum affine symmetry of the S-matrix of the one-dimensional Hubbard chain. We show that this symmetry originates from the quantum affine superalgebra U _q(gl̂(2|2)), and in the rational limit exactly reproduces the secret symmetry of the AdS/CFT worldsheet S-matrix.

Original language	English
Article number	175202
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	45
Issue number	17
DOIs	https://doi.org/10.1088/1751-8113/45/17/175202
Publication status	Published - 4 May 2012

Access to Document

10.1088/1751-8113/45/17/175202

Cite this

@article{a8f82032aacd4930a743cac42cd9a194,

title = "The quantum affine origin of the AdS/CFT secret symmetry",

abstract = "We find a new quantum affine symmetry of the S-matrix of the one-dimensional Hubbard chain. We show that this symmetry originates from the quantum affine superalgebra U q(g{\^l}(2|2)), and in the rational limit exactly reproduces the secret symmetry of the AdS/CFT worldsheet S-matrix.",

author = "\{De Leeuw\}, Marius and Vidas Regelskis and Alessandro Torrielli",

year = "2012",

month = may,

day = "4",

doi = "10.1088/1751-8113/45/17/175202",

language = "English",

volume = "45",

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

issn = "1751-8113",

publisher = "IOP Publishing",

number = "17",

}

TY - JOUR

T1 - The quantum affine origin of the AdS/CFT secret symmetry

AU - De Leeuw, Marius

AU - Regelskis, Vidas

AU - Torrielli, Alessandro

PY - 2012/5/4

Y1 - 2012/5/4

N2 - We find a new quantum affine symmetry of the S-matrix of the one-dimensional Hubbard chain. We show that this symmetry originates from the quantum affine superalgebra U q(gl̂(2|2)), and in the rational limit exactly reproduces the secret symmetry of the AdS/CFT worldsheet S-matrix.

AB - We find a new quantum affine symmetry of the S-matrix of the one-dimensional Hubbard chain. We show that this symmetry originates from the quantum affine superalgebra U q(gl̂(2|2)), and in the rational limit exactly reproduces the secret symmetry of the AdS/CFT worldsheet S-matrix.

UR - https://www.scopus.com/pages/publications/84859845291

U2 - 10.1088/1751-8113/45/17/175202

DO - 10.1088/1751-8113/45/17/175202

M3 - Article

AN - SCOPUS:84859845291

SN - 1751-8113

VL - 45

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 17

M1 - 175202

ER -

The quantum affine origin of the AdS/CFT secret symmetry

Abstract

Access to Document

Other files and links

Fingerprint

Cite this