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We consider `twin supergravities' - pairs of supergravities with $\mathcal{N}_+$ and $\mathcal{N}_-$ supersymmetries, $\mathcal{N}_+>\mathcal{N}_-$, with identical bosonic sectors - in the context of tensoring super Yang-Mills multiplets.…

High Energy Physics - Theory · Physics 2017-07-26 A. Anastasiou , L. Borsten , M. J. Duff , M. J. Hughes , A. Marrani , S. Nagy , M. Zoccali

We discuss the spectrum of states of IIB supergravity on $AdS_5\times S^5$ in a manifest $SU(2,2/4)$ invariant setting. The boundary fields are described in terms of N=4 superconformal Yang-Mills theory and the proposed correspondence…

High Energy Physics - Theory · Physics 2009-10-31 Sergio Ferrara , Christian Fronsdal , Alberto Zaffaroni

We explore color-kinematic duality for tree-level AdS/CFT correlators in momentum space. We start by studying the bi-adjoint scalar in AdS at tree-level as an illustrative example. We follow this by investigating two forms of…

High Energy Physics - Theory · Physics 2021-04-14 Soner Albayrak , Savan Kharel , David Meltzer

Supersymmetric integrands for the two-loop five-point amplitudes in ten-dimensional super Yang--Mills and type II supergravity are proposed. The kinematic numerators are manifestly local and satisfy the duality between color and kinematics…

High Energy Physics - Theory · Physics 2015-11-05 Carlos R. Mafra , Oliver Schlotterer

The spectrum of IIB supergravity on AdS${}_5 \times S^5$ contains a number of bound states described by long double-trace multiplets in $\mathcal{N}=4$ super Yang-Mills theory at large 't Hooft coupling. At large $N$ these states are…

High Energy Physics - Theory · Physics 2018-12-26 F. Aprile , J. M. Drummond , P. Heslop , H. Paul

We perform the derivation of the two-point correlation function in N=4 D=4 super Yang-Mills theory from superstring theory by computing the dilaton scattering amplitude in the NSR formulation of superstring theory on $AdS_5\times{S^5}$

High Energy Physics - Theory · Physics 2007-05-23 Dimitri Polyakov

We computed a set of structures which appear in the four-point function of protected operators of dimension two in $\mathcal{N}=4$ Super Yang Mills with $SU(N)$ gauge group, at any order in a large $N$ expansion. They are determined only by…

High Energy Physics - Theory · Physics 2021-08-11 Agnese Bissi , Giulia Fardelli , Alessandro Georgoudis

We test the conjectured relationship between N=4 super Yang-Mills theory in four dimensions and IIB supergravity compactified on $AdS_5\times S_5$ by computing the two- and three-point functions of R-symmetry currents. We observe that the…

High Energy Physics - Theory · Physics 2011-05-05 G. Chalmers , H. Nastase , K. Schalm , R. Siebelink

We calculate four-point correlation functions of two weight-2 and two weight-3 1/2-BPS operators in \mathcal{N}=4 SYM in the large N limit in supergravity approximation. By the AdS/CFT conjecture, these operators are dual to AdS…

High Energy Physics - Theory · Physics 2009-11-18 León Berdichevsky , Pieter Naaijkens

We describe a new set of public, self-contained, and versatile computational tools for the investigation, manipulation, and evaluation of tree-level amplitudes in pure (super)Yang-Mills and (super)Gravity, $\phi^p$-scalar field theory, and…

High Energy Physics - Theory · Physics 2024-01-01 Jacob L. Bourjaily

We describe a construction of the two-loop amplitude of four graviton supermultiplets in AdS$_5\times$S$^5$. We start from an ansatz for a preamplitude from which we generate the full amplitude under the action of a specific Casimir…

High Energy Physics - Theory · Physics 2022-08-30 J. M. Drummond , H. Paul

Recent progress towards understanding a strong coupling expansion for various superconformal field theories in four dimensions is described. First, the case of the maximally supersymmetric Yang Mills theory is analyzed, as well as many…

High Energy Physics - Theory · Physics 2008-11-26 David Berenstein

Following the observation of Banks and Green that the D-instantons in AdS_5 correspond to the instantons in 4-dimensional supersymmetric Yang-Mills theory, we study in more detail this correspondence for individual instantons. The…

High Energy Physics - Theory · Physics 2009-10-31 Chong-Sun Chu , Pei-Ming Ho , Yi-Yen Wu

We study the spectrum of certain two-particle operators in the supergravity regime of the D1-D5 system, focussing on the four-point correlators of tensor multiplets on $AdS_3\times S^3$ at tree level. In Mellin space, these are nicely…

High Energy Physics - Theory · Physics 2022-01-25 Francesco Aprile , Michele Santagata

We find solutions of the six-dimensional maximal supergravity by adding a perturbation of vector fields to the solution AdS${}_3$ $\times$ S${}^3$. For certain perturbations the solution represents a dual description of an ${\cal N}=(4,0)$…

High Energy Physics - Theory · Physics 2009-11-07 Madoka Nishimura

We bootstrap tree-level supergravity four-point correlators on AdS$_5\times$S$^5$ with one external half-BPS double-particle operator and three half-BPS single-particle operators. Our only input is the consistency of the operator product…

High Energy Physics - Theory · Physics 2026-01-23 Francesco Aprile , Stefano Giusto , Rodolfo Russo , Joao Vilas Boas

In the first part of this talk I discuss two somewhat different supergravity approaches to calculating correlation functions in strongly coupled Yang-Mills theory. The older approach relates two-point functions to cross-sections for…

High Energy Physics - Theory · Physics 2009-10-31 Igor R. Klebanov

We propose studying a new representation of on-shell Anti de Sitter (AdS) amplitude in Mellin Momentum space, where it encodes all the dynamical information in Cosmological Correlators. At tree level, we demonstrate that this amplitude has…

High Energy Physics - Theory · Physics 2024-04-16 Jiajie Mei

This study utilizes theoretical tools including the double copy relation and AdS/CFT correspondence. Applying analogies, we establish a system to discuss the associations and equivalence relations among QCD, QED, and various (mixed) gauge…

High Energy Physics - Phenomenology · Physics 2025-10-28 Jia-rui Guo

We investigate the relation between 4d ambitwistor string theory and on-shell diagrams for planar N=4 super-Yang-Mills and N=8 supergravity, and deduce several new results about their scattering amplitudes at tree-level and 1-loop. In…

High Energy Physics - Theory · Physics 2017-09-13 Joseph A. Farrow , Arthur E. Lipstein