Computing 1/N^2 corrections in AdS/CFT
arXiv:1010.6074
Abstract
Stringy corrections in AdS/CFT generally fall into the category of either α' effects or string loop effects, corresponding to 1/λand 1/N corrections, respectively, in the dual field theory. While α'^3R^4 corrections have been well studied, at least in the context of N=4 super-Yang-Mills, less is known about the 1/N^2 corrections arising from closed string loops. In this paper, we consider AdS_5 x SE_5 compactifications of the IIB string, and compute the closed string loop correction to the anomaly coefficients a and c in the dual field theory. For T^{1,1} reductions, we find the string loop correction to yield c-a=1/24, which is the contribution to c-a of a free N=2 hypermultiplet. We also comment on reductions to lower dimensional AdS theories as well as the nature of T-duality with higher derivatives.
24 pages, LaTeX
References in corpus (11)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Viscosity Bound and Causality Violation
- Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
- Beyond eta/s = 1/4pi
- Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
- Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
- A holographic computation of the central charges of d=4, N=2 SCFTs
- Gauged supergravity from type IIB string theory on Y^{p,q} manifolds
- Sasaki-Einstein Metrics on S^2 x S^3
- String Theory Effects on Five-Dimensional Black Hole Physics
- NS-NS fluxes in Hitchin's generalized geometry