Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet

Abstract

Following our earlier work in arXiv:0906.4294 we show how to use semiclassical string quantization approach to compute the leading corrections to the energy of AdS_5 x S^5 string states on the first excited string level that should correspond to operators in the Konishi multiplet of N=4 SYM theory. Compared to examples in our previous paper the string solutions we consider here carry an extra component of S^5 angular momentum J. This facilitates their identification with operators in the Konishi multiplet. We show that for such string states with J=2 the coefficient of the subleading lambda^(-1/4) term in the large string tension expansion of the energy is twice the one found in arXiv:0906.4294. The resulting value matches the one found for the Konishi state in the sl(2) sector from the Y-system/TBA approach, resolving an apparent disagreement claimed earlier.

16 pages, Latex v2: comments added v3: misprints corrected

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• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Five-loop Konishi in N=4 SYM
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Deeper Look into Short Strings
• Yangians, S-matrices and AdS/CFT
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Resurgence of the Cusp Anomalous Dimension
• Pomeron in the N=4 supersymmetric gauge model at strong couplings
• Superstrings in AdS
• Holographic three-point functions for short operators
• Hybrid-NLIE for the AdS/CFT spectral problem
• Computing Three-Point Functions for Short Operators
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• Six and seven loop Konishi from Luscher corrections
• Strong coupling results from the numerical solution of the quantum spectral curve
• The AdS Veneziano amplitude at small curvature
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Exceptional Operators in N=4 super Yang-Mills
• Scaling dimensions from the mirror TBA
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
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• Semiclassical folded string in AdS4 X CP3
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• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• Quasi-local formulation of the mirror TBA
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
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• AdS pure spinor superstring in constant backgrounds
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• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Exact Results in Supersymmetric Gauge Theories
• Pomeron in the N=4 SYM at strong couplings
• On interpolating anomalous dimension of twist-two operators with general spins
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• Leading quantum correction to energy of "short" spiky strings