Conformal Invariance = Finiteness and Beta Deformed N=4 SYM Theory

Details Conformal Invariance = Finiteness and Beta Deformed N=4 SYM Theory Conformal Invariance = Finiteness and Beta Deformed N=4 SYM Theory

2007-06-28

arxiv.org/abs/0706.4245v1

JHEP 0708:071,2007

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex, 1 figure axodraw style

Scientific paper

10.1088/1126-6708/2007/08/071

We claim that if by a choice of the couplings the theory can be made conformally invariant (vanishing of the beta functions) it is automatically finite and vice versa. This is demonstrated by explicit example in supersymmetric gauge theory. The formalism is then applied to the beta deformed ${\cal N}=4$ SYM theory and it is shown that the requirement of conformal invariance = finiteness can be achieved for any complex parameter of deformations.

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