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We present exact expressions for certain integrated correlators of four superconformal primary operators in the stress tensor multiplet of $\mathcal{N}=4$ supersymmetric Yang--Mills (SYM) theory with classical gauge group, $G_N$ $= SO(2N)$,…

High Energy Physics - Theory · Physics 2022-10-12 Daniele Dorigoni , Michael B. Green , Congkao Wen

We consider the quarter-BPS sector of the AdS$_5$/CFT$_4$ duality, and provide a precise matching between specific CFT states and supergravity geometries beyond the linearized approximation. In the bulk, we focus on AdS bubbles, geometries…

High Energy Physics - Theory · Physics 2025-12-09 Bogdan Ganchev , Anthony Houppe

We calculate holographically arbitrary n-point correlators of the boundary stress tensor in three-dimensional Einstein gravity with negative or vanishing cosmological constant. We provide explicit expressions up to 5-point (connected)…

High Energy Physics - Theory · Physics 2016-03-23 Arjun Bagchi , Daniel Grumiller , Wout Merbis

The N = 2, 4 superconformal symmetry constraints in d = 4 for four point functions of chiral primary 1/2-BPS operators are derived. The operators are described by symmetric traceless tensors of the internal R-symmetry group. A substantial…

High Energy Physics - Theory · Physics 2017-06-06 Michael Nirschl

We study the four-point function of the lowest-lying half-BPS operators in the ${\cal N} =4$ $SU(N)$ super-Yang-Mills theory and its relation to the flat-space four-graviton amplitude in type IIB superstring theory. We work in a large-$N$…

High Energy Physics - Theory · Physics 2020-12-02 Shai M. Chester , Michael B. Green , Silviu S. Pufu , Yifan Wang , Congkao Wen

We consider higher-point generalizations of the "octagon" large-charge four-point function in planar N=4 super Yang-Mills theory. These n-point polygon correlators are defined as ten-dimensional null limits of generating functions of…

High Energy Physics - Theory · Physics 2026-01-23 Till Bargheer , Albert Bekov , Carlos Bercini , Frank Coronado

A class of supergravity backgrounds have been proposed as dual descriptions of strong coupling large-N noncommutative Yang-Mills (NCYM) theories in 3+1 dimensions. However calculations of correlation functions in supergravity from an…

High Energy Physics - Theory · Physics 2009-10-31 Sumit R. Das , Banhiman Ghosh

We continue to explore the bootstrap approach to five-point correlation functions for IIB supergravity on $AdS_5\times S^5$. Building on the result of [1], we develop an improved algorithm that allows us to more efficiently compute…

High Energy Physics - Theory · Physics 2023-02-06 Vasco Gonçalves , Carlo Meneghelli , Raul Pereira , Joao Vilas Boas , Xinan Zhou

Supersymmetric localisation has led to several modern developments in the study of integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills (SYM) theory. In particular, exact results have been derived for certain integrated…

High Energy Physics - Theory · Physics 2023-08-30 Daniele Dorigoni , Paolo Vallarino

We compute form factors of half-BPS operators in N=4 super Yang-Mills dual to massive Kaluza-Klein modes in supergravity. These are appropriate supersymmetrisations T_k of the scalar operators Tr(\phi^k) for any k, which for k=2 give the…

High Energy Physics - Theory · Physics 2015-06-18 Brenda Penante , Bill Spence , Gabriele Travaglini , Congkao Wen

We study the predictions of holographic QCD for various observable four-point quark flavour current-current correlators. The dual 5-dimensional bulk theory we consider is a $SU(3)_L \times SU(3)_R$ Yang Mills theory in a slice of $AdS_5$…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Hambye , Babiker Hassanain , John March-Russell , Martin Schvellinger

We present an exact formula for the thermal scalar two-point function in four-dimensional holographic conformal field theories. The problem of finding it reduces to the analysis of the wave equation on the AdS-Schwarzschild background. The…

High Energy Physics - Theory · Physics 2023-05-17 Matthew Dodelson , Alba Grassi , Cristoforo Iossa , Daniel Panea Lichtig , Alexander Zhiboedov

We study the Regge limit of 4-point AdS$_3 \times S^3$ correlators in the tree-level supergravity approximation and provide various explicit checks of the relation between the eikonal phase derived in the bulk picture and the anomalous…

High Energy Physics - Theory · Physics 2020-12-02 Stefano Giusto , Marcel R. R. Hughes , Rodolfo Russo

One of the most important problems in any conformal field theory is the calculation of three-point functions of primary operators. In this paper we provide explicit examples of correlators with two scalar operators in $\,{\cal N}=4$…

High Energy Physics - Theory · Physics 2015-12-09 D. Arnaudov , R. C. Rashkov

We study the large-charge sector of $\mathcal{N}=4$ super Yang-Mills theory (SYM) with $SU(N)$ gauge group by constructing a special class of half-BPS heavy operators, termed "canonical operators". Such operators exhibit remarkable…

High Energy Physics - Theory · Physics 2025-04-15 Augustus Brown , Francesco Galvagno , Alba Grassi , Cristoforo Iossa , Congkao Wen

It was recently shown that IIB supergravity on AdS$_5\times$S$^5$ enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we adapt these two…

High Energy Physics - Theory · Physics 2022-03-30 Theresa Abl , Paul Heslop , Arthur E. Lipstein

We extend to chiral N=4 operators the holographic agreement recently found between correlators of the symmetric orbifold of M^4 at large N and type IIB strings propagating in AdS(3) x S^3 x M^4, where M^4=T^4 or K3. We also present…

High Energy Physics - Theory · Physics 2008-11-26 Ari Pakman , Amit Sever

We propose a new consistency condition for the compatibility of a gravitational effective field theory in AdS with a dual holographic description in terms of a family of large-$N$ CFTs. Using large-$N$ factorization of correlation functions…

High Energy Physics - Theory · Physics 2026-05-05 Nikolay Bobev , Hynek Paul , Filippo Revello

We compute correlators of two heavy and two light operators in the strong coupling and large $c$ limit of the D1D5 CFT which is dual to weakly coupled AdS$_3$ gravity. The light operators have dimension two and are scalar descendants of the…

High Energy Physics - Theory · Physics 2018-02-14 Alessandro Bombini , Andrea Galliani , Stefano Giusto , Emanuele Moscato , Rodolfo Russo

A non-trivial consequence of the super-correlator/super-amplitude duality is that the integrand of the four-point correlation function of stress-tensor multiplets in planar N=4 super Yang-Mills contains a certain combination of n-point…

High Energy Physics - Theory · Physics 2018-08-01 Paul Heslop , Vuong-Viet Tran
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