Conformal invariance = finiteness and beta deformed Script N = 4 SYM theory
Abstract
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 Script N = 4 SYM theory and it is shown that the requirement of conformal invariance = finiteness can be achieved for complex parameter of deformations.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- August 2007
- DOI:
- 10.1088/1126-6708/2007/08/071
- arXiv:
- arXiv:0706.4245
- Bibcode:
- 2007JHEP...08..071K
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 15 pages, Latex, 1 figure axodraw style