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We review the role that infinite-dimensional symmetries arising at the boundary of asymptotically flat spacetimes play in the context of the celestial holography program. Once recast into the language of conformal field theory, asymptotic…

High Energy Physics - Theory · Physics 2023-10-20 Laura Donnay

In celestial holography, scattering particles in four-dimensional asymptotically flat spacetimes are dual to conformal primary field operators on the celestial sphere. Multi-particle celestial operators can be formed from regularized…

High Energy Physics - Theory · Physics 2026-01-09 Mathew Calkins , Monica Pate

Recent attempts at the construction of holography for asymptotically flat spacetimes have taken two different routes. Celestial holography, involving a two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel results in…

High Energy Physics - Theory · Physics 2022-06-29 Arjun Bagchi , Shamik Banerjee , Rudranil Basu , Sudipta Dutta

The flat/CFT dictionary between the bulk gravitational theory and boundary conformal field theory is systematically developed in this paper. Asymptotically flat spacetime is built up by asymptotically AdS hyperboloid slices in terms of…

High Energy Physics - Theory · Physics 2024-04-02 Zezhuang Hao

Celestial holography provides a promising avenue to studying bulk scattering in flat spacetime from the perspective of boundary celestial conformal field theory (CCFT). A key ingredient in connecting the two sides is the celestial…

High Energy Physics - Theory · Physics 2022-10-26 Hongliang Jiang

Gravity in $4d$ asymptotically flat spacetime constitutes the archetypal example of a gravitational system with leaky boundary conditions. Pursuing our analysis of [1], we argue that the holographic description of such a system requires the…

High Energy Physics - Theory · Physics 2023-07-03 Laura Donnay , Adrien Fiorucci , Yannick Herfray , Romain Ruzziconi

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

We provide a concrete link between celestial amplitudes and cosmological correlators. We first construct a map from quantum field theories (QFTs) in $(D+2)$-dimensional Euclidean space to theories on the $(D+1)$-dimensional sphere, through…

High Energy Physics - Theory · Physics 2025-11-10 Hideo Furugori , Naoki Ogawa , Sotaro Sugishita , Takahiro Waki

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

For a given conformal field theory (CFT), one can deform it via the addition of a marginal operator to the spectrum. In two dimensions, when the added operator has conformal weights $h=\bar{h}=1$, conformal symmetry is not broken and the…

High Energy Physics - Theory · Physics 2025-11-27 Michael Imseis , Sruthi A. Narayanan , A. W. Peet

The bulk-to-boundary dictionary for 4D celestial holography is given a new entry defining 2D boundary states living on oriented circles on the celestial sphere. The states are constructed using the 2D CFT state-operator correspondence from…

High Energy Physics - Theory · Physics 2021-10-04 Erin Crawley , Noah Miller , Sruthi A. Narayanan , Andrew Strominger

Marginal operators in a d-dimensional conformal field theory (CFT), those with conformal dimension $\Delta=d$, give us information about the space of related theories. This can be incredibly useful when trying to develop an intrinsic…

High Energy Physics - Theory · Physics 2025-07-22 Sruthi A. Narayanan

We compare and contrast the two approaches of holography in asymptotically flat spacetimes, viz. the co-dimension two Celestial approach based on the Mellin transformation and the co-dimension one Carrollian approach based on the modified…

High Energy Physics - Theory · Physics 2024-01-05 Arjun Bagchi , Prateksh Dhivakar , Sudipta Dutta

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

The soft limits of scattering amplitudes have been extensively studied due to their essential role in the computation of physical observables in collider physics. The universal factorisation that occurs in these kinematic limits has been…

High Energy Physics - Theory · Physics 2022-12-14 Tristan McLoughlin , Andrea Puhm , Ana-Maria Raclariu

We present a "holographic" reconstruction of bulk spacetime geometry using correlation functions of a massless field living at the "future boundary" of the spacetime, namely future null infinity $\mathscr{I}^+$. It is holographic in the…

High Energy Physics - Theory · Physics 2022-12-07 Erickson Tjoa , Finnian Gray

In this paper, we studied the relationship between celestial holography and chiral strings. Chiral strings differ from the usual string theory by a change of boundary conditions on the string propagators. It is shown that chiral strings…

High Energy Physics - Theory · Physics 2024-04-02 Hare Krishna , Yu-Ping Wang

We give a definition of asymptotically locally Lifshitz spacetimes, with boundary data appropriate for a non-relativistic theory on the boundary. Solutions satisfying these boundary conditions are constructed in an asymptotic expansion. We…

High Energy Physics - Theory · Physics 2015-05-28 Simon F. Ross

We develop a flat-space holographic dictionary for a free massive spinor field in four-dimensional Minkowski spacetime, using the hyperbolic (Milne) slicing into $\mathbb H^3$ (Euclidean $\mathrm{AdS}_3$). Decomposing bulk fields into…

High Energy Physics - Theory · Physics 2026-03-10 Dmitry S. Ageev , Anna S. Bernakevich

We show how to encode the radiative degrees of freedom in $4$-dimensional asymptotically AdS spacetimes, using the boundary Cotton and stress tensors. Background radiation leads to a reduction of the asymptotic symmetry group, in contrast…

High Energy Physics - Theory · Physics 2024-06-11 Luca Ciambelli , Sabrina Pasterski , Elisa Tabor
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