AdS/CFT v.s. String Loops

Abstract

The one string-loop correction to the energies of two impurity BMN states are computed using IIB light-cone string field theory with an improved 3-string vertex that has been proposed by Dobashi and Yoneya. As in previous published computations, the string vertices are truncated to the 2-impurity channel. The result is compared with the prediction from non-planar corrections in the BMN limit of $\mathcal{N}=4$ supersymmetric Yang-Mills theory. It is found to agree at leading order -- one-loop in Yang-Mills theory -- and is close but not quite in agreement at order two Yang-Mills loops. Furthermore, in addition to the leading 1/2 power in the t'Hooft coupling, which is generic in string field theory, and which we have previously argued cancels, we find that the 3/2 and 5/2 powers are also miraculously absent.

13 pages

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Cited by in corpus (12)

• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Non-planar ABJM Theory and Integrability
• Quasilocality of joining/splitting strings from coherent states
• Matching gauge theory and string theory in a decoupling limit of AdS/CFT
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group
• Matching three-point functions of BMN operators at weak and strong coupling
• Three-point functions of BMN operators at weak and strong coupling II. One loop matching
• New Penrose Limits and AdS/CFT
• Three-BMN Correlation Functions: Integrability vs. String Field Theory One-Loop Mismatch
• 1/2-BPS Correlators as c=1 S-matrix
• An Algebraic Model for the su(2|2) Light-Cone String Field Theory