Integrability and non-perturbative effects in the AdS/CFT correspondence

Abstract

We present a non-perturbative resummation of the asymptotic strong-coupling expansion for the dressing phase factor of the AdS_5xS^5 string S-matrix. The non-perturbative resummation provides a general form for the coefficients in the weak-coupling expansion, in agreement with crossing symmetry and transcendentality. The ambiguities of the non-perturbative prescription are discussed together with the similarities with the non-perturbative definition of the c=1 matrix model.

8 pages. Latex

References in corpus (1)

• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory

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• The Ising model and planar N=4 Yang-Mills
• On the dressing phase in the SL(2) Bethe Ansatz