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Related papers: AdS Virasoro-Shapiro from dispersive sum rules

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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…

High Energy Physics - Theory · Physics 2023-05-05 Luis F. Alday , Tobias Hansen , Joao A. Silva

We present a constructive method to compute the AdS Virasoro-Shapiro amplitude, order by order in AdS curvature corrections. At kth order the answer takes the form of a genus zero world-sheet integral involving weight 3k single-valued…

High Energy Physics - Theory · Physics 2023-10-20 Luis F. Alday , Tobias Hansen

We compute the AdS Virasoro-Shapiro amplitude for scattering of dilatons in type IIB string theory with pure RR flux on $AdS_3\times S^3\times M_4$ for $M_4=T^4$ or $K3$, to all orders in $\alpha'$ in a small AdS curvature expansion. This…

High Energy Physics - Theory · Physics 2025-05-14 Shai M. Chester , De-liang Zhong

The genus zero contribution to the four-point correlator $\langle {\cal O}_{p_1}{\cal O}_{p_2}{\cal O}_{p_3}{\cal O}_{p_4}\rangle$ of half-BPS single-particle operators ${\cal O}_p$ in $\mathcal{N}=4$ super Yang-Mills at strong coupling…

High Energy Physics - Theory · Physics 2022-11-01 F. Aprile , J. M. Drummond , H. Paul , M. Santagata

We construct a representation for the first AdS curvature correction to the Virasoro-Shapiro amplitude, as an integral over the Riemann sphere. The integrand is that of the Virasoro-Shapiro amplitude in flat space, with the extra insertion…

High Energy Physics - Theory · Physics 2023-05-08 Luis F. Alday , Tobias Hansen , Joao A. Silva

We consider tree level scattering of gravitons in type IIA string theory on $AdS_4\times \mathbb{CP}^3$ to all orders in $\alpha'$, which is dual to the stress tensor correlator in $U(N)_k\times U(N)_{-k}$ ABJM theory in the planar large…

High Energy Physics - Theory · Physics 2026-04-08 Shai M. Chester , Tobias Hansen , De-liang Zhong

We bootstrap the first-order correction in the curvature expansion of the Virasoro-Shapiro amplitude in AdS spacetime, for arbitrary Kaluza-Klein charges of external operators. By constructing a universal ansatz based on single-valued…

High Energy Physics - Theory · Physics 2026-01-26 Bo Wang , Di Wu , Ellis Ye Yuan

We study the AdS Virasoro-Shapiro amplitude in the limit of fixed-angle high energy scattering. A recent representation as a world-sheet integral allows to compute the amplitude in this regime by saddle point techniques, very much as in…

High Energy Physics - Theory · Physics 2024-02-16 Luis F. Alday , Tobias Hansen , Maria Nocchi

We derive a local, crossing symmetric dispersion relation (CSDR) for 2-2 scattering amplitudes with a parametric ambiguity motivated by string theory. Various limits of the parameter lead to the fixed-t, fixed-s, and other known CSDRs. We…

High Energy Physics - Theory · Physics 2026-03-06 Faizan Bhat , Arnab Priya Saha , Aninda Sinha

The AdS Virasoro-Shapiro amplitude has recently been generalized to the AdS$_3$/CFT$_2$ correspondence between type IIB string theory on $ AdS_3 \times S^3 \times K3$ (or $T^4$), supported by Ramond-Ramond flux, and the D1-D5 CFT. In this…

High Energy Physics - Theory · Physics 2026-01-27 Hongliang Jiang

We study the first curvature correction to the string amplitude of four Kaluza--Klein (KK) modes on $AdS_3 \times S^3 \times M_4$, with $M_4=K3$ or $T^4$, in type IIB string theory, which is holographically dual to the four--point…

High Energy Physics - Theory · Physics 2025-08-11 Hongliang Jiang , De-liang Zhong

We establish a precise formula relating the world-sheet integral of the AdS Virasoro-Shapiro amplitude to the energy-energy correlator (EEC) in $\mathcal{N}=4$ super Yang-Mills theory at strong coupling. This mapping allows us to evaluate…

High Energy Physics - Theory · Physics 2026-05-14 Lecheng Ren , Bo Wang , Congkao Wen

We compute the AdS Virasoro-Shapiro amplitude in the Regge limit, in terms of the CFT data of the exchanged operators in the leading Regge trajectory. To any order in the small curvature expansion, the result can be written in terms of…

High Energy Physics - Theory · Physics 2024-09-06 Luis F. Alday , Maria Nocchi , Clément Virally , Xinan Zhou

We determine the first curvature correction for the string amplitude of two supergravity states and two Kaluza-Klein modes on $\text{AdS}_5 \times \text{S}^5$, which is dual to the correlator $\langle \mathcal{O}_2 \mathcal{O}_2…

High Energy Physics - Theory · Physics 2023-08-08 Giulia Fardelli , Tobias Hansen , Joao A. Silva

We study non-planar correlators in ${\cal N}=4$ super-Yang-Mills in Mellin space. We focus in the stress tensor four-point correlator to order $1/N^4$ and in a strong coupling expansion. This can be regarded as the genus-one four-point…

High Energy Physics - Theory · Physics 2019-01-01 Luis F. Alday

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp…

High Energy Physics - Theory · Physics 2021-12-08 Simon Caron-Huot , Dalimil Mazac , Leonardo Rastelli , David Simmons-Duffin

We consider $\alpha'$ corrections to the one-loop four-point correlator of the stress-tensor multiplet in $\mathcal{N}=4$ super Yang-Mills at order $1/N^4$. Holographically, this is dual to string corrections of the one-loop supergravity…

High Energy Physics - Theory · Physics 2021-03-16 J. M. Drummond , H. Paul

We propose a systematic procedure for obtaining all single trace 1/2-BPS correlators in N=4 super Yang-Mills corresponding to the four-point tree-level amplitude for type IIB string theory in AdS5xS5. The underlying idea is to compute…

High Energy Physics - Theory · Physics 2021-05-12 Theresa Abl , Paul Heslop , Arthur E. Lipstein

We consider the four-point correlator of the stress tensor multiplet in N=4 SYM. We construct all solutions consistent with crossing symmetry in the limit of large central charge c ~ N^2 and large g^2 N. While we find an infinite tower of…

High Energy Physics - Theory · Physics 2015-06-22 Luis F. Alday , Agnese Bissi , Tomasz Lukowski

We consider tree-level scattering amplitudes for four string tachyons on $AdS_3 \times {\cal N}$ with pure NSNS fluxes. We show that in a small curvature expansion, properly defined, the amplitudes take the form of a genus zero integral…

High Energy Physics - Theory · Physics 2024-12-09 Luis F. Alday , Gaston Giribet , Tobias Hansen
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