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We present a double copy relation in AdS$_5$ which relates tree-level four-point amplitudes of supergravity, super Yang-Mills and bi-adjoint scalars.

High Energy Physics - Theory · Physics 2021-10-04 Xinan Zhou

Dynamical electro-weak symmetry breaking is an appealing, strongly-coupled alternative to the weakly-coupled models based on an elementary scalar field developing a vacuum expectation value. In the first two sections of this set of…

High Energy Physics - Phenomenology · Physics 2015-03-13 Maurizio Piai

Double copy relates scattering amplitudes in a web of gravitational and gauge theories. Although it has seen great success when applied to amplitudes in vacuum, far less is known about double copy in arbitrary gravitational and gauge…

High Energy Physics - Theory · Physics 2024-11-19 Anton Ilderton , William Lindved

We investigate the AdS/CFT correspondence for higher-derivative gravity systems, and develop a formalism in which the generating functional of the boundary field theory is given as a functional that depends only on the boundary values of…

High Energy Physics - Theory · Physics 2009-11-07 Masafumi Fukuma , So Matsuura , Tadakatsu Sakai

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS_5xS^5 and the scaling weights of the corresponding non-near-BPS operators in planar N=4 supersymmetric gauge theory.…

High Energy Physics - Theory · Physics 2009-09-29 N. Beisert , S. Frolov , M. Staudacher , A. A. Tseytlin

I review the effective field theory (EFT) description of gravitating compact objects. The focus is on kinematic regimes where gravity is perturbative, in particular the adiabatic inspiral phase relevant to gravitational wave detection. For…

High Energy Physics - Theory · Physics 2022-12-14 Walter D. Goldberger

We consider the problem of distributed lossless computation of a function of two sources by one common user. To do so, we first build a bipartite graph, where two disjoint parts denote the individual source outcomes. We then project the…

Information Theory · Computer Science 2023-07-18 Derya Malak

Fefferman and Graham showed some time ago that four dimensional conformal geometries could be analyzed in terms of six dimensional, ambient, Riemannian geometries admitting a closed homothety. Recently it was shown how conformal geometry…

High Energy Physics - Theory · Physics 2014-11-21 Roberto Bonezzi , Emanuele Latini , Andrew Waldron

We consider radiation emitted by colour-charged and massive particles crossing strong plane wave backgrounds in gauge theory and gravity. These backgrounds are treated exactly and non-perturbatively throughout. We compute the back-reaction…

High Energy Physics - Theory · Physics 2020-10-28 Tim Adamo , Anton Ilderton

We propose a roadmap for bootstrapping conformal field theories (CFTs) described by gauge theories in dimensions $d>2$. In particular, we provide a simple and workable answer to the question of how to detect the gauge group in the bootstrap…

High Energy Physics - Theory · Physics 2021-12-29 Yin-Chen He , Junchen Rong , Ning Su

We explore the eikonal approximation to graviton exchange in AdS_5 space, as relevant to scattering in gauge theories. We restrict ourselves to the regime where conformal invariance of the dual gauge theory holds, and to large 't Hooft…

High Energy Physics - Theory · Physics 2010-01-10 Richard C. Brower , Matthew J. Strassler , Chung-I Tan

In any dimension $D$, the Euclidean Einstein-Hilbert action, which describes gravity in the absence of matter, can be discretized over random discrete spaces obtained by gluing families of polytopes together in all possible ways. In the…

Mathematical Physics · Physics 2018-08-29 Luca Lionni

We show that the five-fold constraints due to (1) the observed nuclear modification of heavy quark jets measured via non-photonic electrons $R_{AA}^e(p_T \sim 6 {\rm GeV})$ in central Au+Au collisions at 200 AGeV, (2) the "perfect fluid'…

High Energy Physics - Phenomenology · Physics 2013-05-29 Jorge Noronha , Miklos Gyulassy , Giorgio Torrieri

Connection of the Four Color Theorem (FCT) with some operations on trees is described. L.H. Kauffman's theorem about FCT and vector cross product is discussed. Operation of transplantation on trees linked with the move of brackets according…

Combinatorics · Mathematics 2013-09-27 Sergey I. Kryuchkov

We apply the conjecture of arXiv:2111.06903 for gravitational building blocks to the effective supergravity description of M-theory on S$^7/\mathbb{Z}_k$. Utilizing known localization results for the holographically dual ABJM theory, we…

High Energy Physics - Theory · Physics 2022-11-23 Kiril Hristov

We take a major step towards computing $D$-dimensional one-loop amplitudes in general gauge theories, compatible with the principles of unitarity and the color-kinematics duality. For $n$-point amplitudes with either supersymmetry…

High Energy Physics - Theory · Physics 2023-02-20 Alex Edison , Song He , Henrik Johansson , Oliver Schlotterer , Fei Teng , Yong Zhang

Multigravity theories are constructed from the discretization of the extra dimension of five dimensional gravity. Using an ADM decomposition, the discretization is performed while maintaining the four dimensional diffeomorphism invariance…

High Energy Physics - Theory · Physics 2009-10-07 C. Deffayet , J. Mourad

We discuss the double copy formulation of Moyal-Weyl type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of $L_\infty$-algebras. We define new noncommutative scalar field theories with rigid colour…

High Energy Physics - Theory · Physics 2023-08-02 Richard J. Szabo , Guillaume Trojani

We report a local, weight-dependent correlation density-functional approximation that incorporates information about both ground and excited states in the context of density-functional theory for ensembles (eDFT). This density-functional…

Chemical Physics · Physics 2020-06-05 Pierre-François Loos , Emmanuel Fromager

We construct perturbative classical solutions of the Yang-Mills equations coupled to dynamical point particles carrying color charge. By applying a set of color to kinematics replacement rules first introduced by Bern, Carrasco and…

High Energy Physics - Theory · Physics 2017-08-02 Walter D. Goldberger , Alexander K. Ridgway
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