Conformal invariance and finiteness theorems for non-planar beta-deformed N=4 SYM theory

Abstract

We study the conformal invariance of non-planar beta-deformed N=4 SYM theory using the coupling constant reduction (CCR) formalism. We show that up to order g^10, differently from the planar case, we can remove the scheme dependence in the definition of the theory without reducing to the real beta case. We also compute the gauge beta function up to four loops and see that the generalized finiteness theorems proposed in [hep-th: 0705.1483] still hold.

LaTex, 16 pages, 10 figures

References in corpus (4)

• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• Conformal invariance of the planar beta-deformed N=4 SYM theory requires beta real
• Real versus complex beta-deformation of the N=4 planar super Yang-Mills theory

Cited by in corpus (4)

• Conformal Invariance in the Leigh-Strassler deformed N=4 SYM Theory
• $\beta$-deformation for matrix model of M-theory
• Two loop Kahler potential in beta-deformed N=4 SYM theory
• Dynamical SUSY Breaking and the Beta-Deformation