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

Jan Fokken; Christoph Sieg; Matthias Wilhelm

doi:10.1088/1751-8113/47/45/455401

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

Jan Fokken, Christoph Sieg, Matthias Wilhelm

36 Citationer (Scopus)

Abstract

We show that the γ_i-deformation, which was proposed as candidate gauge theory for a non-supersymmetric three-parameter deformation of the anti-de Sitter/conformal field theory 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.

Originalsprog	Engelsk
Artikelnummer	455401
Tidsskrift	Journal of Physics A: Mathematical and Theoretical
Vol/bind	47
Udgave nummer	45
Antal sider	25
ISSN	1751-8113
DOI	https://doi.org/10.1088/1751-8113/47/45/455401
Status	Udgivet - 14 nov. 2014
Udgivet eksternt	Ja

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10.1088/1751-8113/47/45/455401

Citationsformater

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AU - Sieg, Christoph

AU - Wilhelm, Matthias

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N2 - We show that the γi-deformation, which was proposed as candidate gauge theory for a non-supersymmetric three-parameter deformation of the anti-de Sitter/conformal field theory 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 γi-deformation, which was proposed as candidate gauge theory for a non-supersymmetric three-parameter deformation of the anti-de Sitter/conformal field theory 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

SN - 1751-8113

VL - 47

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 45

M1 - 455401

ER -

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

Abstract

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