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Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

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.