On the Non-renormalization of the AdS Radius

Details On the Non-renormalization of the AdS Radius On the Non-renormalization of the AdS Radius

2009-06-25

arxiv.org/abs/0906.4572v3

JHEP 0909:056,2009

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, harvmac. v2: refs added, version to be published on JHEP

Scientific paper

10.1088/1126-6708/2009/09/056

We show that the relation between the 't Hooft coupling and the radius of AdS is not renormalized at one-loop in the sigma model perturbation theory. We prove this by computing the quantum effective action for the superstring on AdS_5 x S^5 and showing that it does not receive any finite alpha' corrections. We also show that the central charge of the interacting worldsheet conformal field theory vanishes at one-loop.

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