We study the cal{N}=1 SU(N) SYM theory which is a marginal deformation of the cal{N}=4 theory, with a complex deformation parameter eta. We consider the large N limit and study perturbatively the conformal invariance condition. We find that finiteness requires reality of the deformation parameter eta.
Elmetti, F., Mauri, A., Penati, S., Santambrogio, A., Zanon, D. (2007). Conformal invariance of the planar β-deformed N ≤ 4 SYM theory requires β real. JOURNAL OF HIGH ENERGY PHYSICS, 2007(1) [10.1088/1126-6708/2007/01/026].
Conformal invariance of the planar β-deformed N ≤ 4 SYM theory requires β real
MAURI, ANDREA;PENATI, SILVIA;
2007
Abstract
We study the cal{N}=1 SU(N) SYM theory which is a marginal deformation of the cal{N}=4 theory, with a complex deformation parameter eta. We consider the large N limit and study perturbatively the conformal invariance condition. We find that finiteness requires reality of the deformation parameter eta.
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