On the Non-renormalization of the AdS Radius

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.

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

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Cited by in corpus (13)

• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• Strings on Semisymmetric Superspaces
• The Konishi multiplet at strong coupling
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Superstrings in AdS
• Taming the b antighost with Ramond-Ramond flux
• Quantum Current Algebra for the $Ad{S}_5\times S^5$ Superstring
• Worldsheet dilatation operator for the $AdS$ superstring
• AdS pure spinor superstring in constant backgrounds
• Holographic bulk reconstruction beyond (super)gravity
• Quantum corrections to $Ad{S}_5\times S^5$ left-invariant superstring current algebra
• Pure spinor superstring in AdS_4 x CP^3 with unconstrained ghosts