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In this paper, we present a simple and iterative algorithm that computes Anti-de Sitter space scattering amplitudes. We focus on the vector correlators in AdS in four dimensions in momentum space. These new combinatorial relations will…

High Energy Physics - Theory · Physics 2020-01-24 Soner Albayrak , Chandramouli Chowdhury , Savan Kharel

We describe the hexagon function bootstrap for solving for six-gluon scattering amplitudes in the large $N_c$ limit of ${\cal N}=4$ super-Yang-Mills theory. In this method, an ansatz for the finite part of these amplitudes is constrained at…

High Energy Physics - Theory · Physics 2014-07-28 Lance J. Dixon , James M. Drummond , Claude Duhr , Matt von Hippel , Jeffrey Pennington

We study four-point functions of spinning operators in the flavor current multiplet in four dimensional $\mathcal{N}=2$ SCFTs, using superspace techniques. In particular we explicitly construct the differential operators relating the…

High Energy Physics - Theory · Physics 2023-01-26 Agnese Bissi , Giulia Fardelli , Andrea Manenti , Xinan Zhou

We initiate the study of one-loop gluon amplitudes in AdS space. These amplitudes were recently computed at tree level for a variety of backgrounds of the form $AdS_{d+1} \times S^3$. For concreteness, we compute the one-loop correction to…

High Energy Physics - Theory · Physics 2025-01-14 Luis F. Alday , Agnese Bissi , Xinan Zhou

We consider mixed gluon-graviton scattering in Type IIB string theory on AdS$_5\times S^5/\mathbb{Z}_2$ in the presence of D7 branes, which is dual to a mixed correlator of the $SO(8)$ and $SU(2)_L$ flavor multiplets of a certain 4d…

High Energy Physics - Theory · Physics 2025-05-13 Shai M. Chester , Pietro Ferrero , Daniele R. Pavarini

We review recent progress on computing scattering amplitudes of planar N=4 super Yang-Mills at strong coupling by using the AdS/CFT duality. We do explicit computations by using both, dimensional regularization and a cut-off in the radial…

High Energy Physics - Theory · Physics 2008-11-26 Luis F. Alday

In this paper we compute the tree-level four-point scattering amplitude of two dilatini and two axion-dilaton fields in type IIB supergravity in AdS5 x S5. A special feature of this process is that there is an "exotic" channel in which…

High Energy Physics - Theory · Physics 2008-11-26 Linda I. Uruchurtu

We explore and exploit the relation between non-planar correlators in ${\cal N}=4$ super-Yang-Mills, and higher-genus closed string amplitudes in type IIB string theory. By conformal field theory techniques we construct the genus-one,…

High Energy Physics - Theory · Physics 2019-06-26 Luis F. Alday , Agnese Bissi , Eric Perlmutter

In this note we further investigate the procedure for computing tree-level amplitudes in Yang-Mills theory from connected instantons in the B-model on P^{3|4}, emphasizing that the problem of calculating Feynman diagrams is recast into the…

High Energy Physics - Theory · Physics 2011-05-05 Radu Roiban , Marcus Spradlin , Anastasia Volovich

Scattering amplitudes in planar super-Yang-Mills theory satisfy several basic physical and mathematical constraints, including physical constraints on their branch cut structure and various empirically discovered connections to the…

High Energy Physics - Theory · Physics 2017-07-05 Thomas Harrington , Marcus Spradlin

We shall interpret the null hexagonal Wilson loop (or, equivalently, six gluon scattering amplitude) in 4D ${\cal N}=4$ Super Yang-Mills, or, precisely, an integral representation of its matrix part, via an ADHM-like instanton construction.…

High Energy Physics - Theory · Physics 2021-11-03 Davide Fioravanti , Hasmik Poghosyan , Rubik Poghossian

We compute the tree-level connected six-point function of identical scalar fluctuations of the AdS$_2$ string worldsheet dual to the half-BPS Wilson line in planar ${\cal N}=4$ Super Yang-Mills. The calculation can be carried out…

High Energy Physics - Theory · Physics 2023-08-22 Simone Giombi , Shota Komatsu , Bendeguz Offertaler , Jieru Shan

We consider gluons scattering in Type IIB string theory on AdS$_5\times S^5/\mathbb{Z}_2$ in the presence of D7 branes, which is dual to the flavor multiplet correlator in a certain 4d $\mathcal{N}=2$ $USp(2N)$ gauge theory with $SO(8)$…

High Energy Physics - Theory · Physics 2025-11-21 Connor Behan , Shai M. Chester , Pietro Ferrero

We introduce two new graphical-level relations among possible contributions to the four-point correlation function and scattering amplitude in planar, maximally supersymmetric Yang-Mills theory. When combined with the rung rule, these prove…

High Energy Physics - Theory · Physics 2016-12-21 Jacob L. Bourjaily , Paul Heslop , Vuong-Viet Tran

We present a method for the computation of hepta-cuts of two loop scattering amplitudes. Four dimensional unitarity cuts are used to factorise the integrand onto the product of six tree-level amplitudes evaluated at complex momentum values.…

High Energy Physics - Phenomenology · Physics 2012-04-18 Simon Badger , Hjalte Frellesvig , Yang Zhang

We analyze a bulk effective field theory in AdS containing a U(1)-charged massive spin-2 field coupled to a gauge field, by performing the required holographic renormalization, and computing the one and two-point functions. We then compute…

High Energy Physics - Theory · Physics 2026-02-04 Vijay Nenmeli , Arvind Shekar , Mritunjay Verma

In this follow up paper, we calculate higher point tree level graviton Witten diagrams in AdS$_4$ via bulk perturbation theory. We show that by rearranging the bulk to bulk graviton propagators, the calculations effectively reduce to the…

High Energy Physics - Theory · Physics 2020-01-24 Soner Albayrak , Savan Kharel

We show the factorization of the three-particle world-sheet S-matrix of AdS_5 x S^5 superstring theory in the near-flat-space limit at one loop order. This is done by computing various scattering amplitudes from Feynman diagrams in the…

High Energy Physics - Theory · Physics 2008-11-26 Valentina Giangreco Marotta Puletti , Thomas Klose , Olof Ohlsson Sax

The AdS/CFT correspondence has provided new and useful insights into the nonperturbative regime of strongly coupled gauge theories. We construct a class of models meant to mimic Yang-Mills theory using the superpotential method. This method…

High Energy Physics - Theory · Physics 2018-07-31 Sean P. Bartz , Aditya Dhumuntarao , Joseph I. Kapusta

We develop a systematic unitarity method for loop-level AdS scattering amplitudes, dual to non-planar CFT correlators, from both bulk and boundary perspectives. We identify cut operators acting on bulk amplitudes that put virtual lines on…

High Energy Physics - Theory · Physics 2020-04-22 David Meltzer , Eric Perlmutter , Allic Sivaramakrishnan