Finite-size effect for four-loop Konishi of the β-deformed N=4 SYM

Changrim Ahn; Zoltan Bajnok; Diego Bombardelli; Rafael I. Nepomechie

doi:10.1016/j.physletb.2010.08.056

Finite-size effect for four-loop Konishi of the β-deformed N=4 SYM

Changrim Ahn, Zoltan Bajnok, Diego Bombardelli, Rafael I. Nepomechie

Department of Physics

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

27 Scopus citations

Abstract

We propose that certain twists of the su(2|2) S-matrix elements describe the β-deformation of N=4 supersymmetric Yang-Mills theory. We compute the perturbative four-loop anomalous dimension of the Konishi operator of the deformed gauge theory from the LÜscher formula based on these twisted S-matrix elements. The result agrees exactly with the perturbative gauge theory computations.

Original language	English
Pages (from-to)	380-385
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	693
Issue number	3
DOIs	https://doi.org/10.1016/j.physletb.2010.08.056
State	Published - Oct 2010

Bibliographical note

Funding Information:
We thank N. Beisert, M. Martins, and M. Staudacher for valuable discussions and the APCTP Focus Program 2009 and 2010 where parts of the work have been performed. This work was supported in part by KRF-2007-313- C00150, WCU Grant No. R32-2008-000-101300 (CA, DB), by Bolyai Scholarship and OTKA 81461 (ZB), and by the National Science Foundation under Grants PHY-0554821 and PHY-0854366 (RN).

Keywords

AdS/CFT
Beta-deformation
Finite-size effect

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10.1016/j.physletb.2010.08.056

Cite this

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title = "Finite-size effect for four-loop Konishi of the β-deformed N=4 SYM",

abstract = "We propose that certain twists of the su(2|2) S-matrix elements describe the β-deformation of N=4 supersymmetric Yang-Mills theory. We compute the perturbative four-loop anomalous dimension of the Konishi operator of the deformed gauge theory from the L{\"U}scher formula based on these twisted S-matrix elements. The result agrees exactly with the perturbative gauge theory computations.",

keywords = "AdS/CFT, Beta-deformation, Finite-size effect",

author = "Changrim Ahn and Zoltan Bajnok and Diego Bombardelli and Nepomechie, {Rafael I.}",

note = "Funding Information: We thank N. Beisert, M. Martins, and M. Staudacher for valuable discussions and the APCTP Focus Program 2009 and 2010 where parts of the work have been performed. This work was supported in part by KRF-2007-313- C00150, WCU Grant No. R32-2008-000-101300 (CA, DB), by Bolyai Scholarship and OTKA 81461 (ZB), and by the National Science Foundation under Grants PHY-0554821 and PHY-0854366 (RN). ",

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doi = "10.1016/j.physletb.2010.08.056",

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AU - Bajnok, Zoltan

AU - Bombardelli, Diego

AU - Nepomechie, Rafael I.

N1 - Funding Information: We thank N. Beisert, M. Martins, and M. Staudacher for valuable discussions and the APCTP Focus Program 2009 and 2010 where parts of the work have been performed. This work was supported in part by KRF-2007-313- C00150, WCU Grant No. R32-2008-000-101300 (CA, DB), by Bolyai Scholarship and OTKA 81461 (ZB), and by the National Science Foundation under Grants PHY-0554821 and PHY-0854366 (RN).

PY - 2010/10

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N2 - We propose that certain twists of the su(2|2) S-matrix elements describe the β-deformation of N=4 supersymmetric Yang-Mills theory. We compute the perturbative four-loop anomalous dimension of the Konishi operator of the deformed gauge theory from the LÜscher formula based on these twisted S-matrix elements. The result agrees exactly with the perturbative gauge theory computations.

AB - We propose that certain twists of the su(2|2) S-matrix elements describe the β-deformation of N=4 supersymmetric Yang-Mills theory. We compute the perturbative four-loop anomalous dimension of the Konishi operator of the deformed gauge theory from the LÜscher formula based on these twisted S-matrix elements. The result agrees exactly with the perturbative gauge theory computations.

KW - AdS/CFT

KW - Beta-deformation

KW - Finite-size effect

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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IS - 3

ER -

Finite-size effect for four-loop Konishi of the β-deformed N=4 SYM

Abstract

Bibliographical note

Keywords

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