Effective action of beta-deformed N=4 SYM theory and AdS/CFT

Details Effective action of beta-deformed N=4 SYM theory and AdS/CFT Effective action of beta-deformed N=4 SYM theory and AdS/CFT

2005-08-15

arxiv.org/abs/hep-th/0508098v3

Phys.Rev.D72:075005,2005

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures. V2: comments, reference added. V3: the version to appear in PRD

Scientific paper

10.1103/PhysRevD.72.075005

We compute the one-loop effective action in \N=1 conformal SU(N) gauge theory which is an exactly marginal deformation of the \N=4 SYM theory. We consider an abelian background of constant \N = 1 gauge field and single chiral scalar. While for finite N the effective action depends non-trivially on the deformation parameter \beta, this dependence disappears in the large N limit if the parameter \beta is real. This conclusion matches the strong-coupling prediction coming from the form of a D3-brane probe action in the dual supergravity background: for the simplest choice of the D3-brane position the probe action happens to be the same as for a D3-brane in AdS_5 x S^5 placed parallel to the boundary of AdS_5. This suggests that in the real \beta deformation case there exists a large N non-renormalization theorem for the 4-derivative term in the action.

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