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Supersymmetric circular Wilson loops in $\mathcal{N}=4$ Super-Yang-Mills theory are discussed starting from their Gaussian matrix model representations. Previous results on the generating functions of Wilson loops are reviewed and extended…

High Energy Physics - Theory · Physics 2021-07-06 Wolfgang Mück

{\it Perturbiner}, that is, the solution of field equations which is a generating function for tree form-factors in N=3 $(N=4)$ supersymmetric Yang-Mills theory, is studied in the framework of twistor formulation of the N=3 superfield…

High Energy Physics - Theory · Physics 2009-10-31 K. G. Selivanov

In this paper, we give the general expressions for a special series of tree amplitudes of the Yang-Mills theory. This series of amplitudes have two adjacent massless spin-1 particles with extra-dimensional momenta and any number of positive…

High Energy Physics - Theory · Physics 2019-10-08 Yang An , Yi Li

We present an expression for the leading-color (planar) four-loop four-point amplitude of N=4 supersymmetric Yang-Mills theory in 4-2 e dimensions, in terms of eight separate integrals. The expression is based on consistency of unitarity…

High Energy Physics - Theory · Physics 2008-11-26 Zvi Bern , Michael Czakon , Lance J. Dixon , David A. Kosower , Vladimir A. Smirnov

The interest in the thermodynamics of supersymmetric Yang-Mills started after Maldacena proposed the duality between string theory on AdS backgrounds and the large-N limit of SYM theories. One of the motivations to study the thermal…

High Energy Physics - Theory · Physics 2022-03-07 Ubaid Tantary , Qianqian Du , Michael Strickland

We compute the imaginary part of scalar four-point functions in the AdS/CFT correspondence relevant to N=4 super Yang-Mills theory. Unitarity of the AdS supergravity demands that the imaginary parts of the correlation functions factorize…

High Energy Physics - Theory · Physics 2009-10-31 Gordon Chalmers , Koenraad Schalm

In this letter, we consider a positive geometry conjectured to encode the loop integrand of four-point stress-energy correlators in planar $\mathcal{N}=4$ super Yang-Mills. Beginning with four lines in twistor space, we characterize a…

High Energy Physics - Theory · Physics 2024-10-03 Song He , Yu-tin Huang , Chia-Kai Kuo

We consider two four-dimensional gauge theories with gauge group $SU(N)$: the $\mathcal{N}=4$ Super Yang-Mills (SYM) theory and the $\mathcal{N}=2$ quiver gauge theory obtained as a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ SYM. In this…

High Energy Physics - Theory · Physics 2025-10-15 Lorenzo De Lillo , Alessandro Pini

The energy-energy-correlator (EEC) observable in $e^+e^-$ annihilation measures the energy deposited in two detectors as a function of the angle between the detectors. The collinear limit, where the angle between the two detectors…

High Energy Physics - Phenomenology · Physics 2019-07-17 Lance J. Dixon , Ian Moult , Hua Xing Zhu

Integrated correlation functions in $\mathcal{N}=4$ supersymmetric Yang--Mills theory with gauge group $SU(N)$ can be expressed in terms of the localised $S^4$ partition function, $Z_N$, deformed by a mass $m$. Two such cases are…

High Energy Physics - Theory · Physics 2023-10-20 Luis F. Alday , Shai M. Chester , Daniele Dorigoni , Michael B. Green , Congkao Wen

We continue the study of n-point correlation functions of half-BPS protected operators in N=4 super-Yang-Mills theory, in the limit where the positions of the adjacent operators become light-like separated. We compute the l-loop corrections…

High Energy Physics - Theory · Physics 2015-05-19 Burkhard Eden , Gregory P. Korchemsky , Emery Sokatchev

We compute four-point functions with two maximal giant gravitons and two chiral primary operators at three-loop order in planar $\mathcal{N}=4$ Super-Yang-Mills theory. The Lagrangian insertion method, together with symmetries of the theory…

High Energy Physics - Theory · Physics 2023-12-12 Yunfeng Jiang , Yu Wu , Yang Zhang

In this paper the pure spinor formalism is used to obtain a compact expression for the superstring N-point disk amplitude. The color ordered string amplitude is given by a sum over (N-3)! super Yang-Mills subamplitudes multiplied by…

High Energy Physics - Theory · Physics 2011-06-15 Carlos R. Mafra , Oliver Schlotterer , Stephan Stieberger

Recently, a recursion relation has been developed, generating the four-dimensional integrand of the amplitudes of N=4 supersymmetric Yang-Mills theory for any number of loops and legs. In this paper, I provide a comparison of the prediction…

High Energy Physics - Theory · Physics 2025-05-08 Kasper J. Larsen

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

Recently, based on the curve-integral formulation for stringy Tr$\phi^3$ amplitudes, a combinatorial formulation for Yang-Mills amplitudes has been proposed which describes gluons using pairs of scalars and produces the $n$-gluon amplitude…

High Energy Physics - Theory · Physics 2025-12-19 Jin Dong , Yong-Xiang Su , Dongyu Yang

We express the planar five- and six-gluon two-loop Yang-Mills amplitudes with all positive helicities in compact analytic form using D-dimensional local integrands that are free of spurious singularities. The integrand is fixed from…

High Energy Physics - Phenomenology · Physics 2016-09-21 Simon Badger , Gustav Mogull , Tiziano Peraro

We review how (dimensionally regulated) scattering amplitudes in N=4 super-Yang-Mills theory provide a useful testing ground for perturbative QCD calculations relevant to collider physics, as well as another avenue for investigating the…

High Energy Physics - Theory · Physics 2010-11-15 Z. Bern , L. J. Dixon , D. A. Kosower

The massless superfield content of four-dimensional compactifications of closed superstrings with extended (N=2, 3, or 4) supersymmetry is derived by multiplying two (N=0, 1, or 2) Yang-Mills multiplets. In some cases these superfields are…

High Energy Physics - Theory · Physics 2009-10-28 W. Siegel

We study six-point gluon scattering amplitudes in N=4 super Yang-Mills theory at strong coupling by investigating the thermodynamic Bethe ansatz equations of the underlying Z_4-symmetric integrable model both analytically and numerically.…

High Energy Physics - Theory · Physics 2014-11-21 Yasuyuki Hatsuda , Katsushi Ito , Kazuhiro Sakai , Yuji Satoh
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