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In a geometrical approach to gravity the metric and the (gravitational) connection can be independent and one deals with metric-affine theories. We construct the most general action of metric-affine effective field theories, including a…

High Energy Physics - Theory · Physics 2022-12-16 Gianfranco Pradisi , Alberto Salvio

We introduce a new categorical framework for studying derived functors, and in particular for comparing composites of left and right derived functors. Our central observation is that model categories are the objects of a double category…

Category Theory · Mathematics 2011-03-01 Michael Shulman

We propose a universal description of dark energy and modified gravity that includes all single-field models. By extending a formalism previously applied to inflation, we consider the metric universally coupled to matter fields and we write…

High Energy Physics - Theory · Physics 2015-06-11 Giulia Gubitosi , Federico Piazza , Filippo Vernizzi

We present an Effective Field Theory (EFT) formalism which describes the dynamics of non-relativistic extended objects coupled to gravity. The formalism is relevant to understanding the gravitational radiation power spectra emitted by…

High Energy Physics - Theory · Physics 2013-05-29 Walter D. Goldberger , Ira Z. Rothstein

We extend a previously developed approach to relate thermal currents in the high temperature regime and classical limits of amplitudes. We consider the bi-adjoint scalar theory, which has the basic structure of a cubic theory and which is…

High Energy Physics - Theory · Physics 2022-12-14 Leonardo de la Cruz

We develop a compositional approach for automatic and symbolic differentiation based on categorical constructions in functional analysis where derivatives are linear functions on abstract vectors rather than being limited to scalars,…

Programming Languages · Computer Science 2022-07-05 Martin Elsman , Fritz Henglein , Robin Kaarsgaard , Mikkel Kragh Mathiesen , Robert Schenck

We find that point particles interacting with a self-dual Yang-Mills field and self-dual gravity manifestly satisfy color-kinematics duality at the level of action. In a similar way color-kinematics duality also holds for a scalar field…

High Energy Physics - Theory · Physics 2024-04-23 Vyacheslav Ivanovskiy , Dmitry Ponomarev

Using the double-copy construction of Yang-Mills-Einstein theories formulated in our earlier work, we obtain compact presentations for single-trace Yang-Mills-Einstein tree amplitudes with up to five external gravitons and an arbitrary…

High Energy Physics - Theory · Physics 2017-08-25 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

We compute the distance-dependent two-point function of vertex-bicolored planar maps, i.e., maps whose vertices are colored in black and white so that no adjacent vertices have the same color. By distance-dependent two-point function, we…

Combinatorics · Mathematics 2015-12-02 Éric Fusy , Emmanuel Guitter

We investigate emergent gravity extending the paradigm of the AdS/CFT correspondence. The emergent graviton is associated to the (dynamical) expectation value of the energy-momentum tensor. We derive the general effective description of…

High Energy Physics - Theory · Physics 2023-02-28 Panos Betzios , Elias Kiritsis , Vasilis Niarchos

Sufficiently energetic collisions of heavy ions result in the formation of a droplet of a strongly coupled liquid state of QCD matter known as quark-gluon plasma. By using gauge-gravity duality (holography), a model of a rapidly…

High Energy Physics - Theory · Physics 2019-12-25 Åsmund Folkestad , Sašo Grozdanov , Krishna Rajagopal , Wilke van der Schee

Recently there has been progress on the calculation of three-point functions with two "heavy" operators via semiclassical methods. We extend this analysis to the case of the Lunin-Maldacena background, and examine the suggested procedure…

High Energy Physics - Theory · Physics 2013-05-29 D. Arnaudov , R. C. Rashkov

Adjoint functors and projectivization in representation theory of partially ordered sets are used to generalize the algorithms of differentiation by a maximal and by a minimal point. Conceptual explanations are given for the combinatorial…

Representation Theory · Mathematics 2012-01-04 Mark Kleiner , Markus Reitenbach

We present a systematic study of holographic correlators in a vast array of SCFTs with non-maximal superconformal symmetry. These theories include 4d $\mathcal{N}=2$ SCFTs from D3-branes near F-theory singularities, 5d Seiberg exceptional…

High Energy Physics - Theory · Physics 2021-10-20 Luis F. Alday , Connor Behan , Pietro Ferrero , Xinan Zhou

The double copy procedure relates gauge and gravity theories through color-kinematics replacements and holds for both scattering amplitudes and in classical contexts. Moreover, it has been shown that there is a web of theories whose…

High Energy Physics - Theory · Physics 2018-12-05 Mariana Carrillo-Gonzalez , Riccardo Penco , Mark Trodden

We examine the phenomenological implications at colliders for the existence of higher-derivative gravity terms as extensions to the Randall-Sundrum model. Such terms are expected to arise on rather general grounds, e.g., from string theory.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Thomas G. Rizzo

In this note we discuss the relation between the constraints imposed by causality in the bulk of $AdS$ and the condition of positivity of the energy measured in ideal calorimeters in a collider experiment in the dual CFT. We first extend…

High Energy Physics - Theory · Physics 2009-10-02 Diego M. Hofman

The double copy programme relies crucially on the so-called color-kinematics duality which, in turn, is widely believed to descend from a kinematic algebra possessed by gauge theories. In this paper we construct the kinematic algebra of…

High Energy Physics - Theory · Physics 2023-11-08 Roberto Bonezzi , Felipe Diaz-Jaramillo , Silvia Nagy

We find a correspondence between semiclassical gauge theories quantized on the light-front and a dual gravity model in anti-de Sitter (AdS) space, thus providing an initial approximation to QCD in its strongly coupled regime. This…

High Energy Physics - Phenomenology · Physics 2011-03-10 Guy F. de Teramond , Stanley J. Brodsky

When the color distribution of input images changes at inference, the performance of conventional neural network architectures drops considerably. A few researchers have begun to incorporate prior knowledge of color geometry in neural…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Yulong Yang , Zhikun Xu , Yaojun Li , Christine Allen-Blanchette