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