On a CFT limit of planar γi-deformed N = 4 SYM theory
Abstract
We show that an integrable four-dimensional non-unitary field theory that was recently proposed as a certain limit of the γi-deformed 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 fixed 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.
- Publication:
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Physics Letters B
- Pub Date:
- May 2016
- DOI:
- 10.1016/j.physletb.2016.03.004
- arXiv:
- arXiv:1602.05817
- Bibcode:
- 2016PhLB..756..118S
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- LaTeX, 3 pages, 1 Figure