Preprint 2016-02
Christoph Sieg and Matthias Wilhelm
On a CFT limit of planar \gamma_i-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 \gamma_i-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 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.
Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2016-02
3 pp.