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Related papers: $AdS_3 \times S^3$ Virasoro-Shapiro amplitude with…

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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 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 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 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

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

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 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 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 present a derivation of the first curvature correction to the AdS Veneziano amplitude for arbitrary Kaluza-Klein (KK) modes, using a bootstrap approach based on the world-sheet representation and AdS$\times$S formalism. Our results…

High Energy Physics - Theory · Physics 2026-02-24 Bo Wang

We study four-point functions of arbitrary half-BPS operators in a 4-dimensional $\mathcal{N}=2$ SCFT with flavour group $SO(8)$ at genus-zero and strong 't Hooft coupling, corresponding - via AdS/CFT - to the ($\alpha'$ expansion of the)…

High Energy Physics - Theory · Physics 2024-01-11 R. Glew , M. Santagata

We compute the AdS Veneziano amplitude for type IIB gluon scattering in $AdS_5 \times S^3$ to all orders in $\alpha'$ in a small curvature expansion. This is achieved by combining a dispersion relation in the dual $4d$ $\mathcal{N}=2$ SCFT…

High Energy Physics - Theory · Physics 2026-02-24 Luis F. Alday , Shai M. Chester , Tobias Hansen , De-liang Zhong

We consider the four-point correlator of the stress-energy tensor in ${\cal N}=4$ SYM, to leading order in inverse powers of the central charge, but including all order corrections in $1/\lambda$. This corresponds to the AdS version of the…

High Energy Physics - Theory · Physics 2022-10-26 Luis F. Alday , Tobias Hansen , Joao A. Silva

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

The spectrum of half-BPS single-particle operators of the D1-D5 system in the supergravity regime is dual to the spectrum of Kaluza-Klein modes of tensor and graviton multiplets in AdS$_3\times$S$^3$. We present simple formulae for all…

High Energy Physics - Theory · Physics 2025-10-21 F. Aprile , C. Behan , R. S. Pitombo , M. Santagata

We construct a four-dimensional conformal amplitude whose four-point structure matches the Virasoro-Shapiro form familiar from string theory. The construction uses only general principles of conformal field theory - radial quantization,…

High Energy Physics - Theory · Physics 2026-01-09 Vaibhav Wasnik

We study four-point correlation functions of 1/2-BPS operators in N=4 SYM which are dual to massive KK modes in AdS_5 supergravity. On the field theory side, the procedure of inserting the SYM action yields partial non-renormalisation of…

High Energy Physics - Theory · Physics 2010-04-05 G. Arutyunov , F. A. Dolan , H. Osborn , E. Sokatchev

We discuss the string corrections to one-loop amplitudes in AdS$_5\times$S$^5$, focussing on their expressions in Mellin space. We present the leading $(\alpha')^3$ corrections to the family of correlators $\langle \mathcal{O}_2…

High Energy Physics - Theory · Physics 2021-12-16 J. M. Drummond , R. Glew , H. Paul

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 study string propagation on $AdS_3$ times a compact space from an ``old fashioned'' worldsheet point of view of perturbative string theory. We derive the spacetime CFT and its Virasoro and current algebras, thus establishing the…

High Energy Physics - Theory · Physics 2008-11-26 A. Giveon , D. Kutasov , N. Seiberg

We investigate the pp-wave limit of the AdS_3\times S^3\times K3 compactification of Type IIB string theory from the point of view of the dual Sym_N(K3) CFT. It is proposed that a fundamental string in this pp-wave geometry is dual to the…

High Energy Physics - Theory · Physics 2009-11-07 Jaume Gomis , Lubos Motl , Andrew Strominger
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