AdS Virasoro-Shapiro from single-valued periods

Abstract

We determine the full $1/\sqrt{\lambda }$ correction to the flat-space Wilson coefficients which enter the AdS Virasoro-Shapiro amplitude in $\mathcal{N}=4$ SYM theory at strong coupling. The assumption that the Wilson coefficients are in the ring of single-valued multiple zeta values, as expected for closed string amplitudes, is surprisingly powerful and leads to a unique solution to the dispersive sum rules relating Wilson coefficients and OPE data obtained in [1]. The corresponding OPE data fully agrees with and extends the results from integrability. The Wilson coefficients to order $1/\sqrt{\lambda }$ can be summed into an expression whose structure of poles and residues generalises that of the Virasoro-Shapiro amplitude in flat space.

arXiv comment37 pages, 1 figure, v2: JHEP version, v3: minor correction

References in corpus (31)

• A bound on chaos
• Writing CFT correlation functions as AdS scattering amplitudes
• The Multiple Zeta Value Data Mine
• Conformal Regge theory
• Elliptic multiple zeta values and one-loop superstring amplitudes
• Sharp Boundaries for the Swampland
• Analyticity and the Holographic S-Matrix
• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• Low energy expansion of the four-particle genus-one amplitude in type II superstring theory
• Closed String Amplitudes as Single-Valued Open String Amplitudes
• Crossing Symmetric Dispersion Relations in QFTs
• Closed Superstring Amplitudes, Single-Valued Multiple Zeta Values and Deligne Associator
• Strings from Massive Higher Spins: The Asymptotic Uniqueness of the Veneziano Amplitude
• Far Beyond the Planar Limit in Strongly-Coupled $\mathcal{N}=4$ SYM
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Modular Invariance in Superstring Theory From $\mathcal{N}=4$ Super-Yang-Mills
• Exact properties of an integrated correlator in $\mathcal{N}=4$ $SU(N)$ SYM
• New Modular Invariants in $\mathcal{N}=4$ Super-Yang-Mills Theory
• Single-valued integration and superstring amplitudes in genus zero
• Integrability and Conformal Bootstrap: One Dimensional Defect CFT
• A novel representation of an integrated correlator in $\mathcal{N}=4$ SYM theory
• Crossing Symmetric Dispersion Relations for Mellin Amplitudes
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• AdS Virasoro-Shapiro from dispersive sum rules
• Deeper Look into Short Strings
• Closed strings as single-valued open strings: A genus-zero derivation
• On the unitarity and low energy expansion of the Coon amplitude
• Strong coupling results from the numerical solution of the quantum spectral curve
• On Fine Structure of Strings: The Universal Correction to the Veneziano Amplitude
• $Ad{S}_5\times S^5$ supergravity vertex operators

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• The AdS Veneziano amplitude at small curvature
• High Energy String Scattering in AdS
• The type IIA Virasoro-Shapiro amplitude in AdS${}_4$ $\times$ CP${}^3$ from ABJM theory
• On the spectrum and structure constants of short operators in N=4 SYM at strong coupling
• Bootstrapping Witten diagrams via differential representation in Mellin space
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• The Kaluza-Klein AdS Virasoro-Shapiro Amplitude near Flat Space
• FiniteFieldSolve: Exactly Solving Large Linear Systems in High-Energy Theory
• Coon unitarity via partial waves or: how I learned to stop worrying and love the harmonic numbers
• Mellin amplitudes for $Ad{S}_3\times S^3$
• A Celestial Route to AdS Bulk Locality
• Bootstrap AdS Veneziano Amplitude with Arbitrary Kaluza-Klein Modes
• Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude
• Higher-Spin and Higher-Point Constraints on Stringy Amplitudes
• Twisted de Rham theory for string double copy in AdS