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Celestial amplitude plays an important role in the understanding of holography. Computing celestial amplitudes by recursion can deepen our understanding of the structure of celestial amplitudes. As an important recursion method, the…

High Energy Physics - Theory · Physics 2023-09-29 Yi-Xiao Tao

I review the recent progress in studying long-distance singularities in gauge-theory scattering amplitudes in terms of Wilson lines. The non-Abelian exponentiation theorem, which has been recently generalised to the case of multi-leg…

High Energy Physics - Phenomenology · Physics 2014-01-03 Einan Gardi

In position space the interaction terms of soft-collinear effective theory must be multipole-expanded to obtain interaction terms with homogeneous scaling behaviour. In this note we provide a manifestly gauge-invariant formulation of the…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Beneke , Th. Feldmann

We recast the soft $S$-matrices on the celestial sphere as correlation functions of certain $2$-dimensional models of topological defects. In pointing out the double copy structure between the soft photon and soft graviton cases, we arrive…

High Energy Physics - Theory · Physics 2021-04-27 Nikhil Kalyanapuram

The operator product expansion (OPE) on the celestial sphere of conformal primary gluons and gravitons is studied. Asymptotic symmetries imply recursion relations between products of operators whose conformal weights differ by…

High Energy Physics - Theory · Physics 2019-10-28 Monica Pate , Ana-Maria Raclariu , Andrew Strominger , Ellis Ye Yuan

Carrollian holography is a framework for flat space holography, suggesting that gravity in asymptotically flat spacetime in $D$ dimensions is dual to a conformal Carrollian field theory in $D - 1$ dimensions living at null infinity. In this…

High Energy Physics - Theory · Physics 2025-08-12 Harshal Kulkarni , Romain Ruzziconi , Akshay Yelleshpur Srikant

We study the soft limits of cosmological correlators from a holographic perspective, showing how the inflationary consistency relations arise from the diffeomorphism invariance of the dual quantum field theory. Starting from the…

High Energy Physics - Theory · Physics 2015-02-17 Paul McFadden

Carrollian holography aims to express gravity in four-dimensional asymptotically flat spacetime in terms of a dual three-dimensional Carrollian CFT living at null infinity. Carrollian amplitudes are massless scattering amplitudes written in…

High Energy Physics - Theory · Physics 2023-12-19 Lionel Mason , Romain Ruzziconi , Akshay Yelleshpur Srikant

In celestial holography, the massive and massless scalars in 4d space-time are represented by the Fourier transform of the bulk-to-boundary propagators and the Mellin transform of plane waves respectively. Recently, the 3pt celestial…

High Energy Physics - Theory · Physics 2025-01-24 Wei Fan

Post-Newtonian theory was instrumental in conducting the critical experimental tests of general relativity and in building the astronomical ephemerides of celestial bodies in the solar system with an unparalleled precision. The cornerstone…

General Relativity and Quantum Cosmology · Physics 2012-09-06 Sergei Kopeikin

We consider massless scattering from the point of view of the position, momentum, and celestial bases. In these three languages different properties of physical processes become manifest or obscured. Within the soft sector, they highlight…

High Energy Physics - Theory · Physics 2022-07-06 Laura Donnay , Sabrina Pasterski , Andrea Puhm

The Celestial Holography program encompasses recent efforts to understand the flat space hologram in terms of a CFT living on the celestial sphere. A key development instigating these efforts came from understanding how soft limits of…

High Energy Physics - Theory · Physics 2023-11-07 Sabrina Pasterski

Celestial holography expresses $\mathcal{S}$-matrix elements as correlators in a CFT living on the night sky. Poincar\'e invariance imposes additional selection rules on the allowed positions of operators. As a consequence, $n$-point…

High Energy Physics - Theory · Physics 2022-09-28 Sebastian Mizera , Sabrina Pasterski

We utilize the deformed light-cone formalism to investigate the Carrollian version of a complex vector field theory. We find that after applying the null-reduction procedure and the Carrollian limit $c\rightarrow 0$, the "-" null-direction…

High Energy Physics - Theory · Physics 2026-03-10 Limin Zeng

We compute the operator product expansions of gluons and gravitons in celestial CFT from the worldsheet OPE of vertex operators of four-dimensional ambitwistor string theories. Remarkably, the worldsheet OPE localizes on the short-distance…

High Energy Physics - Theory · Physics 2022-06-29 Tim Adamo , Wei Bu , Eduardo Casali , Atul Sharma

We study exponentiated soft exchange in $d+2$ dimensional gauge and gravitational theories using the celestial CFT formalism. These models exhibit spontaneously broken asymptotic symmetries generated by gauge transformations with…

High Energy Physics - Theory · Physics 2022-01-19 Daniel Kapec , Prahar Mitra

We revisit the prescription commonly used to define holographic correlators on the celestial sphere of Minkowski space as an integral transform of flat space scattering amplitudes, known as celestial amplitudes. We propose a resolution to a…

High Energy Physics - Theory · Physics 2025-07-23 Charlotte Sleight , Massimo Taronna

We show that the Mellin transform of an $n$-point tree level MHV gluon scattering amplitude, also known as the celestial amplitude in pure Yang-Mills theory, satisfies a system of $(n-2)$ linear first order partial differential equations…

High Energy Physics - Theory · Physics 2021-11-03 Shamik Banerjee , Sudip Ghosh

Both celestial and momentum space amplitudes in four dimensions are beset by divergences resulting from spacetime translation and sometimes scale invariance. In this paper we consider a (linearized) marginal deformation of the celestial CFT…

High Energy Physics - Theory · Physics 2022-12-14 Eduardo Casali , Walker Melton , Andrew Strominger

We elaborate on a string world-sheet connection to flat space-time holography. More specifically, in the high energy (zero tension) limit of tree-level string scattering in flat backgrounds the underlying string world-sheets can be related…

High Energy Physics - Theory · Physics 2025-08-08 Xavier Kervyn , Stephan Stieberger