On the non-renormalization of the AdS radius

Luca Mazzucato; Brenno Carlini Vallilo

doi:10.1088/1126-6708/2009/09/056

On the non-renormalization of the AdS radius

Luca Mazzucato, Brenno Carlini Vallilo

Exact Sciences School

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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 × S ⁵ and showing that it does not receive any finite α′ corrections. We also show that the central charge of the interacting worldsheet conformal field theory vanishes at one-loop.

Original language	English
Article number	056
Journal	Journal of High Energy Physics
Volume	2009
Issue number	9
DOIs	https://doi.org/10.1088/1126-6708/2009/09/056
Publication status	Published - 2009

Keywords

Ads-cft correspondence
Sigma models

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1088/1126-6708/2009/09/056

Cite this

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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 × S 5 and showing that it does not receive any finite α′ corrections. We also show that the central charge of the interacting worldsheet conformal field theory vanishes at one-loop.",

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AB - 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 × S 5 and showing that it does not receive any finite α′ corrections. We also show that the central charge of the interacting worldsheet conformal field theory vanishes at one-loop.

KW - Ads-cft correspondence

KW - Sigma models

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JO - Journal of High Energy Physics

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On the non-renormalization of the AdS radius

Abstract

Keywords

ASJC Scopus subject areas

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