Konishi operator at intermediate coupling

Abstract

TBA equations for two-particle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to 't Hooft's coupling lambda ~ 2046. The data obtained is used to analyze the properties of Y-functions and address the issue of the existence of the critical values of the coupling. In addition we find a new integral representation for the BES dressing phase which substantially reduces the computational time.

lots of figures, v2: improved numerics, c1=2, c2=0, c4 does not vanish

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Cited by in corpus (48)

• Quantum spectral curve for AdS_5/CFT_4
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Towards integrability for AdS3/CFT2
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Quantum spectral curve as a tool for a perturbative quantum field theory
• Solving the AdS/CFT Y-system
• The Konishi multiplet at strong coupling
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Wronskian Solution for AdS/CFT Y-system
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Double Wick rotating Green-Schwarz strings
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Five-loop Konishi in N=4 SYM
• The spectral problem for strings on twisted AdS_5 x S^5
• Deeper Look into Short Strings
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Yangians, S-matrices and AdS/CFT
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Hybrid-NLIE for the AdS/CFT spectral problem
• Six-loop Konishi anomalous dimension from the Y-system
• The spectrum of tachyons in AdS/CFT
• Six and seven loop Konishi from Luscher corrections
• Comments on the Mirror TBA
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Scaling dimensions from the mirror TBA
• Numerical results for the exact spectrum of planar AdS4/CFT3
• "Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum
• On the Spectrum of the AdS_5xS^5 String at large lambda
• Lifting asymptotic degeneracies with the Mirror TBA
• Y-system for Z_S Orbifolds of N=4 SYM
• One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory
• Quasi-local formulation of the mirror TBA
• Orbifolded Konishi from the Mirror TBA
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Orbit method quantization of the AdS${}_2$ superparticle
• Resummation of semiclassical short folded string
• Integrability treatment of AdS/CFT orbifolds
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Integrable systems and AdS/CFT duality
• Contour deformation trick in hybrid NLIE
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Exact Results in Supersymmetric Gauge Theories
• Leading quantum correction to energy of "short" spiky strings