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.
Originalsprog | Engelsk |
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Artikelnummer | 455401 |
Tidsskrift | Journal of Physics A: Mathematical and Theoretical |
Vol/bind | 47 |
Udgave nummer | 45 |
Antal sider | 25 |
ISSN | 1751-8113 |
DOI | |
Status | Udgivet - 1 jan. 2014 |
Udgivet eksternt | Ja |