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
Cite
@article{arxiv.1308.4420,
title = {Non-conformality of gamma_i-deformed N=4 SYM theory},
author = {Jan Fokken and Christoph Sieg and Matthias Wilhelm},
journal= {arXiv preprint arXiv:1308.4420},
year = {2015}
}
Comments
LaTeX, feynmp, 25 pages, 1 figure; v2: formulations improved, references added, typos corrected, 27 pages; v3: typos corrected, one reference added, matches published version