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arXiv · 0906.4572

On the Non-renormalization of the AdS Radius

Luca Mazzucato·Brenno Carlini Vallilo
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Abstract

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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Luca Mazzucato, Brenno Carlini Vallilo. 2009-08-31. On the Non-renormalization of the AdS Radius. https://doi.org/10.1088/1126-6708%2F2009%2F09%2F056

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