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We study insertions of composite operators into Wilson loops in N=4 supersymmetric Yang-Mills theory in four dimensions. The loops follow a circular or straight path and the composite insertions transform in the adjoint representation of…

High Energy Physics - Theory · Physics 2009-11-11 Nadav Drukker , Shoichi Kawamoto

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 confirm by explicit computation the conjectured all-orders iteration of planar maximally supersymmetric N=4 Yang-Mills theory in the nontrivial case of five-point two-loop amplitudes. We compute the required unitarity cuts of the…

High Energy Physics - Theory · Physics 2008-11-26 Z. Bern , M. Czakon , D. A. Kosower , R. Roiban , V. A. Smirnov

We argue from two complementary viewpoints of Holography that the 2-point correlation functions of 1/2-BPS multi-trace operators in the large-N (planar) limit are nothing but the (Wick-rotated) S-matrix elements of c=1 matrix model. On the…

High Energy Physics - Theory · Physics 2010-10-27 Antal Jevicki , Tamiaki Yoneya

Correlators of Wilson loop operators with O_4=Tr(F_{\mu\nu}^2+...) are computed in N=4 super-Yang-Mills theory using the AdS/CFT correspondence. The results are compared with the leading order perturbative computations. As a consequence of…

High Energy Physics - Theory · Physics 2009-10-31 J. Erickson , G. W. Semenoff , K. Zarembo

We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2->5 amplitude in planar N=4 super Yang-Mills theory. It follows from factorization, dual conformal symmetry…

In this paper, we present the two-loop correction to scattering amplitudes in three-dimensional $\mathcal{N}=6$ Chern-Simons matter theory. We use eight-point case as our main example, but the method generalizes to all multiplicities. The…

High Energy Physics - Theory · Physics 2023-02-09 Song He , Yu-tin Huang , Chia-Kai Kuo , Zhenjie Li

We consider heavy-heavy-light-light (HHLL) correlators in AdS/CFT, focussing on the D1D5 CFT$_2$ and the ${\cal N}= 4$ super Yang-Mills theory. Out of the lightest $1/2$-BPS operator in the spectrum, $O$, we construct a particular heavy…

High Energy Physics - Theory · Physics 2025-07-18 Francesco Aprile , Stefano Giusto , Rodolfo Russo

We discuss the properties of quarter-BPS local operators in four dimensional ${\cal N}=1$ supersymmetric Yang-Mills theory using the formalism of holomorphic twists. We study loop corrections both to the space of local operators and to…

High Energy Physics - Theory · Physics 2024-09-04 Kasia Budzik , Davide Gaiotto , Justin Kulp , Brian R. Williams , Jingxiang Wu , Matthew Yu

The large N limit of the anomalous dimensions of operators in ${\cal N}=4$ super Yang-Mills theory described by restricted Schur polynomials, are studied. We focus on operators labeled by Young diagrams that have two columns (both long) so…

High Energy Physics - Theory · Physics 2011-02-16 Vincent De Comarmond , Robert de Mello Koch , Katherine Jefferies

We continue our study of large charge limits of the defect CFT defined by the half-BPS Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. In this paper, we compute $1/J$ corrections to the correlation function of two…

High Energy Physics - Theory · Physics 2022-08-24 Simone Giombi , Shota Komatsu , Bendeguz Offertaler

Correlation functions of 1/4 BPS Wilson loops with the infinite family of 1/2 BPS chiral primary operators are computed in $\mathcal{N}=4$ super Yang-Mills theory by summing planar ladder diagrams. Leading loop corrections to the sum are…

High Energy Physics - Theory · Physics 2008-11-26 Gordon W. Semenoff , Donovan Young

We continue our study of the correlators of a recently discovered family of BPS Wilson loops in N=4 supersymmetric U(N) Yang-Mills theory. We perform explicit computations at weak coupling by means of analytical and numerical methods…

High Energy Physics - Theory · Physics 2010-04-23 Antonio Bassetto , Luca Griguolo , Fabrizio Pucci , Domenico Seminara , Shiyamala Thambyahpillai , Donovan Young

Exact expressions for certain integrated correlators of four half-BPS operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory with gauge group $SU(N)$ have been recently obtained thanks to a beautiful interplay between supersymmetric…

High Energy Physics - Theory · Physics 2024-05-17 Daniele Dorigoni , Rudolfs Treilis

As a test of the gluon scattering amplitude/Wilson loop duality, we evaluate the hexagonal light-like Wilson loop at two loops in N=4 super Yang-Mills theory. We compare its finite part to the Bern-Dixon-Smirnov (BDS) conjecture for the…

High Energy Physics - Theory · Physics 2008-11-26 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

We propose that, in N=4 Super Yang-Mills theory, correlation functions of certain 1/8 BPS Wilson loops and local operators inserted on a S^2 in space-time may be computed in terms of analogous observables in the "zero-instanton" sector of…

High Energy Physics - Theory · Physics 2014-11-20 Simone Giombi , Vasily Pestun

We show that appropriately supersymmetrized smooth Maldacena-Wilson loop operators in N=4 super Yang-Mills theory are invariant under a Yangian symmetry Y[psu(2,2|4)] built upon the manifest superconformal symmetry algebra of the theory.…

High Energy Physics - Theory · Physics 2015-06-17 Dennis Muller , Hagen Munkler , Jan Plefka , Jonas Pollok , Konstantin Zarembo

We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N=4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin,…

High Energy Physics - Theory · Physics 2009-04-17 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

Motivated by understanding the scattering of gravitons and their superpartners from extended $(p, q)$-strings in type IIB string theory via AdS/CFT, we study an integrated two-point function of stress tensor multiplet operators in the…

High Energy Physics - Theory · Physics 2023-05-16 Silviu S. Pufu , Victor A. Rodriguez , Yifan Wang

We extend the twistor string theory inspired formalism introduced in hep-th/0407214 for calculating loop amplitudes in N=4 super Yang-Mills theory to the case of N=1 (and N=2) super Yang-Mills. Our approach yields a novel representation of…

High Energy Physics - Theory · Physics 2011-05-05 James Bedford , Andreas Brandhuber , Bill Spence , Gabriele Travaglini
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