2013/11/28 by Qingjun Jin, Jin, Qingjun
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1311.7391
24 pages, 4 figures
arxiv created 2013/12/02 · arxiv updated 2013/12/03
The γi-deformed N=4 super-Yang-Mills theory is a non-supersymmetric deformation of the maximally-supersymmetric gauge theory in four dimensions which is conformally-invariant at the planar level. At the non-planar level non-trivial renormalization of marginal double-trace operators appears to break conformal invariance. At non-planar level, however, the behavior of this theory is less well understood. We study the one loop renormalization of the theory and the resulting flow of Yukawa and scalar coupling at the order \cal O(\fracλN2), and find γi parameters receive nontrivial quantum corrections. We show that, at low energies, the γi parameters flow to a common value and γi-deformed theory reaches an N=1-supersymmetric fixed point described by the β-deformed N=4 super Yang-Mills theory.