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

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Cited by in corpus (15)

• On the highest transcendentality in N=4 SUSY
• Worldsheet Scattering in AdS_5 x S^5
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• On the Strong Coupling Scaling Dimension of High Spin Operators
• Classical r-matrix of the su(2|2) SYM spin-chain
• The scaling function at strong coupling from the quantum string Bethe equations
• A Yangian Double for the AdS/CFT Classical r-matrix
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Probing the fuzzy sphere regularisation in simulations of the 3d λϕ^4 model
• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• 1/2-BPS Correlators as c=1 S-matrix
• The Ising model and planar N=4 Yang-Mills
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• On the dressing phase in the SL(2) Bethe Ansatz