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arXiv · 1308.4420

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

Jan Fokken·Christoph Sieg·Matthias Wilhelm
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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.

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Jan Fokken, Christoph Sieg, Matthias Wilhelm. 2013-08-20. Non-conformality of gamma_i-deformed N=4 SYM theory. https://doi.org/10.1088/1751-8113/47/45/455401

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