Scaling dimensions from the mirror TBA

Abstract

The mirror TBA equations proposed by Arutyunov, Suzuki and the author are solved numerically up to 't Hooft's coupling $\lambda \approx 2340$ for several two-particle states dual to $\mathcal{N}=4$ SYM operators from the $\sl(2)$ sector. The data obtained for states with mode numbers $n=1,2,3,4$ is used to propose a general charge $J$ dependent formula for the first nonvanishing subleading coefficient in the strong coupling expansion of scaling dimensions. In addition we find that the first critical and subcritical values of the coupling for the $J=4,n=1$ operator are at $\lambda \approx 133$ and $\lambda \approx 190$, respectively.

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• Multiple zeta functions and double wrapping in planar N=4 SYM
• Deeper Look into Short Strings
• Pomeron in the N=4 supersymmetric gauge model at strong couplings
• Hybrid-NLIE for the AdS/CFT spectral problem
• Three-point correlators of twist-2 operators in N=4 SYM at Born approximation
• On the Derivation of the Exact Slope Function
• Scaling dimensions at small spin in N=4 SYM theory
• "Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Contour deformation trick in hybrid NLIE
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4