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

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 - 2014/11/14

Y1 - 2014/11/14

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 -