Quantum strings in AdS_5 x S^5: strong-coupling corrections to dimension of Konishi operator
arXiv:0906.4294 · doi:10.1088/1126-6708/2009/11/013
Abstract
We consider leading strong coupling corrections to the energy of the lightest massive string modes in AdS_5 x S^5, which should be dual to members of the Konishi operator multiplet in N=4 SYM theory. This determines the general structure of the strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for several semiclassical string states to extract information about the leading coefficients in this expansion. Our prediction is Delta= 2 lambda^{1/4} + b_0 + b_1 lambda^{-1/4} + b_3 lambda^{-3/4} +..., where b_0 and b_1 are rational while b_3 is transcendental containing zeta(3). Explicitly, we argue that b_0= Delta_0 - 4 (where Delta_0 is the canonical dimension of the corresponding gauge-theory operator in the Konishi multiplet) and b_1=1. Our conclusions are sensitive to few assumptions, implied by a correspondence with flat-space expressions, on how to translate semiclassical quantization results into predictions for the exact quantum string spectrum.
33 pages, Latex v2: minor comments added, misprints corrected v3: misprint corrected v4: misprints corrected
References in corpus (9)
- Spinning strings and AdS/CFT duality
- Exact AdS/CFT spectrum: Konishi dimension at any coupling
- Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
- Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
- The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
- Quantum corrections to energy of short spinning string in AdS5
- Konishi at strong coupling from ABE
- On the short string limit of the folded spinning string in AdS5 x S5
- Spinning strings in AdS_5 x S^5: A worldsheet perspective
Cited by in corpus (59)
- Exact AdS/CFT spectrum: Konishi dimension at any coupling
- Five-Loop Anomalous Dimension of Twist-Two Operators
- On correlation functions of operators dual to classical spinning string states
- Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CFT4
- Quantum folded string and integrability: from finite size effects to Konishi dimension
- Quantum spectral curve as a tool for a perturbative quantum field theory
- On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
- Exploring the mirror TBA
- Y-system and Quasi-Classical Strings
- The Konishi multiplet at strong coupling
- Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
- Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
- Konishi operator at intermediate coupling
- Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
- Simplified TBA equations of the AdS_5 x S^5 mirror model
- Multiple zeta functions and double wrapping in planar N=4 SYM
- PSU(2,2|4) Character of Quasiclassical AdS/CFT
- Quark-antiquark potential in AdS at one loop
- Quantum integrability and functional equations
- Quantum AdS_5 x S^5 superstring in the AdS light-cone gauge
- Yangians, S-matrices and AdS/CFT
- Resurgence of the Cusp Anomalous Dimension
- Pomeron in the N=4 supersymmetric gauge model at strong couplings
- Three-point correlators for giant magnons
- Holographic three-point functions for short operators
- Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
- Semiclassical correlators of three states with large S^5 charges in string theory in AdS_5 x S^5
- Energy-Spin Trajectories in AdS_5 x S^5 from Semiclassical Vertex Operators
- Computing Three-Point Functions for Short Operators
- Bound State Transfer Matrix for AdS5 x S5 Superstring
- The AdS Veneziano amplitude at small curvature
- Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
- Quantum folded string in S^5 and the Konishi multiplet at strong coupling
- On correlation functions of Wilson loops, local and non-local operators
- 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
- Three-point correlation functions from semiclassical circular strings
- Classical limit of diagonal form factors and HHL correlators
- Logarithmic Corrections to the Entanglement Entropy
- Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
- "Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum
- Quantum strings in AdS5 x S5 and AdS/CFT duality
- On the Spectrum of the AdS_5xS^5 String at large lambda
- More about "short" spinning quantum strings
- Three-point correlators: finite-size giant magnons and singlet scalar operators on higher string levels
- Scattering of Giant Magnons in CP^3
- Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
- Semiclassical correlation functions of Wilson loops and local vertex operators
- Generalized Gribov-Lipatov Reciprocity and AdS/CFT
- Resummation of semiclassical short folded string
- Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
- Pulsating Strings in Lunin-Maldacena Backgrounds
- Wrapping effects in supersymmetric gauge theories
- A semiclassical analysis of the fluctuation eigenvalues and the one-loop energy of the folded spinning superstring in AdS_5 x S^5
- P-Branes Dynamics, AdS/CFT and Correlation Functions
- On interpolating anomalous dimension of twist-two operators with general spins
- Semiclassical short strings in AdS_5 x S^5
- On classical string solutions in AdS_5 x S^5