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The AdS/CFT correspondence provides valuable constraints on the possible exact form of various physical quantities in the ${\cal N}=4$ super Yang-Mills theory in the large N limit. We examine the free energy as the expansions in a small as…

High Energy Physics - Theory · Physics 2009-10-31 Miao Li

We present a prescription for computing tree-level scattering amplitudes in 10D super-Yang-Mills (SYM) theory using the pure spinor worldline formalism. The pure spinor formalism has proven to be a powerful framework for studying…

High Energy Physics - Theory · Physics 2025-12-11 Max Guillen , Marcelo dos Santos , Eggon Viana

A class of marginal deformations of four-dimensional N=4 super Yang-Mills theory has been found to correspond to a set of smooth, multiparameter deformations of the S^5 target subspace in the holographic dual on AdS_5 x S^5. We present here…

High Energy Physics - Theory · Physics 2009-11-11 Tristan McLoughlin , Ian Swanson

We study the collinear factorization of off-shell scattering amplitudes in maximally supersymmetric Yang-Mills (sYM) theory. These are constructed starting from six-dimensional N = (1,1) sYM, taking advantage of an available unconstrained…

High Energy Physics - Theory · Physics 2025-03-24 A. V. Belitsky

We classify origin limits of maximally helicity violating multi-gluon scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory, where a large number of cross ratios approach zero, with the help of cluster algebras. By…

High Energy Physics - Theory · Physics 2023-04-12 Benjamin Basso , Lance J. Dixon , Yu-Ting Liu , Georgios Papathanasiou

We calculate the general planar dual-conformally invariant double-pentagon and pentabox integrals in four dimensions. Concretely, we derive one-fold integral representations for these elliptic integrals over polylogarithms of weight three.…

High Energy Physics - Theory · Physics 2024-10-18 Anne Spiering , Matthias Wilhelm , Chi Zhang

We study constant dilaton supersymmetric solutions of type IIB Supergravity with 5-form and 3-form flux with isometry group U(1) $\times$$Z_3$. Some of these solutions correspond to marginal perturbations of N=4 Yang-Mills. We find one line…

High Energy Physics - Theory · Physics 2007-05-23 Ansar Fayyazuddin , Subir Mukhopadhyay

A topological A-model constructed from supertwistor variables and a worldsheet U(1) gauge field was recently proposed to describe the $AdS_5\times S^5$ superstring at zero radius which is dual to free N=4 d=4 super-Yang-Mills. In this note,…

High Energy Physics - Theory · Physics 2026-02-24 Nathan Berkovits

Celestial amplitude is a new reformulation of momentum space scattering amplitude and offers a promising way for flat holography. In this paper, we study the celestial amplitude in $\mathcal N=4$ Super-Yang-Mills (SYM) theory aiming at…

High Energy Physics - Theory · Physics 2021-09-01 Hongliang Jiang

We explore the space of consistent three-particle couplings in $\mathbb Z_2$-symmetric two-dimensional QFTs using two first-principles approaches. Our first approach relies solely on unitarity, analyticity and crossing symmetry of the…

High Energy Physics - Theory · Physics 2020-01-08 Alexandre Homrich , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

We study correlation functions of half-BPS operators in planar $\mathcal{N}=4$ Super-Yang-Mills at strong coupling, in the classical limit where operator dimensions scale with the coupling. We focus on the two-dimensional kinematics…

High Energy Physics - Theory · Physics 2026-05-06 Benjamin Basso , Erkan Kaluç , Didina Serban

We provide a general formula for the refined topologically twisted index of $\mathcal{N}=1$ gauge theories living on the world-volume of D3-branes at conical Calabi-Yau singularities in the Cardy limit. The index is defined as the partition…

High Energy Physics - Theory · Physics 2021-05-25 Seyed Morteza Hosseini , Kiril Hristov , Alberto Zaffaroni

We calculate in the strong coupling and large N limit the energy emitted by an accelerated external charge in ${\cal N}=4$ SU(N) Yang-Mills theory, using the AdS/CFT correspondence. We find that the energy is a local functional of the…

High Energy Physics - Theory · Physics 2007-05-23 Andrei Mikhailov

We propose an all-loop expression for scattering amplitudes in planar N=4 super Yang-Mills theory in multi-Regge kinematics valid for all multiplicities, all helicity configurations and arbitrary logarithmic accuracy. Our expression is…

High Energy Physics - Theory · Physics 2020-12-16 V. Del Duca , S. Druc , J. M. Drummond , C. Duhr , F. Dulat , R. Marzucca , G. Papathanasiou , B. Verbeek

We study Yangian-invariant deformations of scattering amplitudes in 4d N=4 supersymmetric Yang-Mills theory and 3d N=6 Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. In particular, we obtain the deformed Grassmannian integral for 4d N=4…

High Energy Physics - Theory · Physics 2015-09-03 Till Bargheer , Yu-tin Huang , Florian Loebbert , Masahito Yamazaki

We present new formulas for $n$-particle tree-level scattering amplitudes of six-dimensional $\mathcal{N}=(1,1)$ super Yang-Mills (SYM) and $\mathcal{N}=(2,2)$ supergravity (SUGRA). They are written as integrals over the moduli space of…

High Energy Physics - Theory · Physics 2018-10-03 Freddy Cachazo , Alfredo Guevara , Matthew Heydeman , Sebastian Mizera , John H. Schwarz , Congkao Wen

In the pure large-N Yang-Mills theory there is a quasi-BPS sector that is exactly solvable at large N. It follows an exact beta function and the glueball spectrum in this sector. The main technical tool is a new holomorphic loop equation…

High Energy Physics - Theory · Physics 2015-03-13 Marco Bochicchio

We revisit the calculation of the six-gluon remainder function in planar $\mathcal{N} = 4$ super Yang-Mills theory from the strong coupling TBA in the multi-Regge limit and identify an infinite set of kinematically subleading terms. These…

High Energy Physics - Theory · Physics 2017-02-01 Martin Sprenger

We study the analytic properties of the $AdS_5/CFT_4$ Y functions. It is shown that the TBA equations, including the dressing factor, can be obtained from the Y-system with some additional information on the square-root discontinuities…

High Energy Physics - Theory · Physics 2015-03-17 Andrea Cavaglià , Davide Fioravanti , Roberto Tateo

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
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