Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM

Abstract

We apply the recently proposed quantum spectral curve technique to the study of twist operators in planar N=4 SYM theory. We focus on the small spin expansion of anomalous dimensions in the sl(2) sector and compute its first two orders exactly for any value of the 't Hooft coupling. At leading order in the spin S we reproduced Basso's slope function. The next term of order S^2 structurally resembles the Beisert-Eden-Staudacher dressing phase and takes into account wrapping contributions. This expansion contains rich information about the spectrum of local operators at strong coupling. In particular, we found a new coefficient in the strong coupling expansion of the Konishi operator dimension and confirmed several previously known terms. We also obtained several new orders of the strong coupling expansion of the BFKL pomeron intercept. As a by-product we formulated a prescription for the correct analytical continuation in S which opens a way for deriving the BFKL regime of twist two anomalous dimensions from AdS/CFT integrability.

53 pages, references added; v3: due to a typo in the coefficients C_2 and D_2 on page 29 we corrected the rational part of the strong coupling predictions in equations (1.5-6), (6.22-24), (6.27-30) and in Table 1

References in corpus (16)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• The Pomeron and Gauge/String Duality
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• The all loop AdS4/CFT3 Bethe ansatz
• Dressing and Wrapping
• The Quantum Spectral Curve of the ABJM theory
• Twist-three at five loops, Bethe Ansatz and wrapping
• The Quantum Deformed Mirror TBA I
• Twisting the Mirror TBA
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• The spectrum of tachyons in AdS/CFT
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• Sum rules for higher twist sl(2)operators in N=4 SYM

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• Exact Slope and Interpolating Functions in ABJM Theory
• Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
• A symmetry algebra in double-scaled SYK
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• QCD Pomeron from AdS/CFT Quantum Spectral Curve
• Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties
• Resurgence of the Cusp Anomalous Dimension
• Strong Coupling Expansion for the Conformal Pomeron/Odderon Trajectories
• The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system
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• BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
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• Strong coupling results from the numerical solution of the quantum spectral curve
• A review of the AdS/CFT Quantum Spectral Curve
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Regge spectroscopy of higher twist states in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• The property of maximal transcendentality: calculation of Feynman integrals
• Minkowski Conformal Blocks and the Regge Limit for SYK-like Models
• The fate of the Konishi multiplet in the β-deformed Quantum Spectral Curve
• Worldsheet dilatation operator for the $AdS$ superstring
• S-duality invariant perturbation theory improved by holography
• Master symmetry in the $Ad{S}_5\times S^5$ pure spinor string
• Cutting the cylinder into squares: The square form factor
• Structure constants of twist-two light-ray operators in the triple Regge limit
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• On the one-loop curvature function in the $sl(2)$ sector of $\mathcal{N}=4$ SYM
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• The Omega-Infinity Limit of Single Spikes
• Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory
• On interpolating anomalous dimension of twist-two operators with general spins