Conformal Invariance in the Leigh-Strassler deformed N=4 SYM Theory

Details Conformal Invariance in the Leigh-Strassler deformed N=4 SYM Theory Conformal Invariance in the Leigh-Strassler deformed N=4 SYM Theory

2007-12-26

arxiv.org/abs/0712.4132v2

JHEP 0804:003,2008

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 3 axodraw figures

Scientific paper

10.1088/1126-6708/2008/04/003

We consider a full Leigh-Strassler deformation of the ${\cal N}=4$ SYM theory and look for conditions under which the theory would be conformally invariant and finite. Applying the algorithm of perturbative adjustments of the couplings we construct a family of theories which are conformal up to 3 loops in the non-planar case and up to 4 loops in the planar one. We found particular solutions in the planar case when the conformal condition seems to be exhausted in the one loop order. Some of them happen to be unitary equivalent to the real beta-deformed ${\cal N}=4$ SYM theory, while others are genuine. We present the arguments that these solutions might be valid in any loop order.

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