Non-conformality of gamma_i-deformed N=4 SYM theory

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Non-conformality of gamma_i-deformed N=4 SYM theory. / Fokken, Jan; Sieg, Christoph; Wilhelm, Matthias.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 47, No. 45, 455401, 01.01.2014.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Fokken, J, Sieg, C & Wilhelm, M 2014, 'Non-conformality of gamma_i-deformed N=4 SYM theory', Journal of Physics A: Mathematical and Theoretical, vol. 47, no. 45, 455401. https://doi.org/10.1088/1751-8113/47/45/455401

APA

Fokken, J., Sieg, C., & Wilhelm, M. (2014). Non-conformality of gamma_i-deformed N=4 SYM theory. Journal of Physics A: Mathematical and Theoretical, 47(45), [455401]. https://doi.org/10.1088/1751-8113/47/45/455401

Vancouver

Fokken J, Sieg C, Wilhelm M. Non-conformality of gamma_i-deformed N=4 SYM theory. Journal of Physics A: Mathematical and Theoretical. 2014 Jan 1;47(45). 455401. https://doi.org/10.1088/1751-8113/47/45/455401

Author

Fokken, Jan ; Sieg, Christoph ; Wilhelm, Matthias. / Non-conformality of gamma_i-deformed N=4 SYM theory. In: Journal of Physics A: Mathematical and Theoretical. 2014 ; Vol. 47, No. 45.

Bibtex

@article{46a8ddf2577547318faa71f18edd30d1,
title = "Non-conformality of gamma_i-deformed N=4 SYM theory",
abstract = " We show that the gamma_i-deformation, which was proposed as candidate gauge theory for a non-supersymmetric three-parameter deformation of the AdS/CFT correspondence, is not conformally invariant due to a running double-trace coupling - not even in the 't Hooft limit. Moreover, this non-conformality cannot be cured when we extend the theory by adding at tree-level arbitrary multi-trace couplings that obey certain minimal consistency requirements. Our findings suggest a possible connection between this breakdown of conformal invariance and a puzzling divergence recently encountered in the integrability-based descriptions of two-loop finite-size corrections for the single-trace operator of two identical chiral fields. We propose a test to clarify this. ",
keywords = "hep-th",
author = "Jan Fokken and Christoph Sieg and Matthias Wilhelm",
note = "LaTeX, feynmp, 25 pages, 1 figure; v2: formulations improved, references added, typos corrected, 27 pages; v3: typos corrected, one reference added, matches published version",
year = "2014",
month = jan,
day = "1",
doi = "10.1088/1751-8113/47/45/455401",
language = "English",
volume = "47",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "Institute of Physics Publishing Ltd",
number = "45",

}

RIS

TY - JOUR

T1 - Non-conformality of gamma_i-deformed N=4 SYM theory

AU - Fokken, Jan

AU - Sieg, Christoph

AU - Wilhelm, Matthias

N1 - LaTeX, feynmp, 25 pages, 1 figure; v2: formulations improved, references added, typos corrected, 27 pages; v3: typos corrected, one reference added, matches published version

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We show that the gamma_i-deformation, which was proposed as candidate gauge theory for a non-supersymmetric three-parameter deformation of the AdS/CFT correspondence, is not conformally invariant due to a running double-trace coupling - not even in the 't Hooft limit. Moreover, this non-conformality cannot be cured when we extend the theory by adding at tree-level arbitrary multi-trace couplings that obey certain minimal consistency requirements. Our findings suggest a possible connection between this breakdown of conformal invariance and a puzzling divergence recently encountered in the integrability-based descriptions of two-loop finite-size corrections for the single-trace operator of two identical chiral fields. We propose a test to clarify this.

AB - We show that the gamma_i-deformation, which was proposed as candidate gauge theory for a non-supersymmetric three-parameter deformation of the AdS/CFT correspondence, is not conformally invariant due to a running double-trace coupling - not even in the 't Hooft limit. Moreover, this non-conformality cannot be cured when we extend the theory by adding at tree-level arbitrary multi-trace couplings that obey certain minimal consistency requirements. Our findings suggest a possible connection between this breakdown of conformal invariance and a puzzling divergence recently encountered in the integrability-based descriptions of two-loop finite-size corrections for the single-trace operator of two identical chiral fields. We propose a test to clarify this.

KW - hep-th

U2 - 10.1088/1751-8113/47/45/455401

DO - 10.1088/1751-8113/47/45/455401

M3 - Journal article

VL - 47

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 45

M1 - 455401

ER -

ID: 227488848