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arXiv · 1602.05817

On a CFT limit of planar $γ_i$-deformed $\mathcal{N}=4$ SYM theory

Christoph Sieg·Matthias Wilhelm
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Abstract

We show that an integrable four-dimensional non-unitary field theory that was recently proposed as a certain limit of the $γ_i$-deformed $\mathcal{N}=4$ SYM theory is incomplete and not conformal -- not even in the planar limit. We complete this theory by double-trace couplings and find conformal one-loop fix-points when admitting respective complex coupling constants. These couplings must not be neglected in the planar limit, as they can contribute to planar multi-point functions. Based on our results for certain two-loop planar anomalous dimensions, we propose tests of integrability.

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Christoph Sieg, Matthias Wilhelm. 2016-02-18. On a CFT limit of planar $γ_i$-deformed $\mathcal{N}=4$ SYM theory. https://doi.org/10.1016/j.physletb.2016.03.004

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