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

Sergei M. Kuzenko, A.A. Tseytlin

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


We compute the one-loop effective action in N=1 superconformal SU(N) gauge theory which is an exactly marginal deformation of the N=4 SYM. We consider an Abelian background of constant N=1 gauge field and single chiral scalar. While for finite N the effective action depends nontrivially on the deformation parameter q=eiπβ, this dependence disappears in the large N limit if the parameter β 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 AdS5×S5 placed parallel to the boundary of AdS5. This suggests that in the real β deformation case there exists a large N nonrenormalization theorem for the F4 term in the action.
Original languageEnglish
Pages (from-to)075005-1-075005-8
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number7
Publication statusPublished - 2005


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