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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…

高能物理 - 理论 · 物理学 2025-07-23 Charlotte Sleight , Massimo Taronna

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…

高能物理 - 理论 · 物理学 2022-10-26 Hongliang Jiang

Four-dimensional (4D) flat Minkowski space admits a foliation by hyperbolic slices. Euclidean AdS3 slices fill the past and future lightcones of the origin, while dS3 slices fill the region outside the lightcone. The resulting link between…

高能物理 - 理论 · 物理学 2019-10-02 Adam Ball , Elizabeth Himwich , Sruthi A. Narayanan , Sabrina Pasterski , Andrew Strominger

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…

高能物理 - 理论 · 物理学 2022-12-14 Eduardo Casali , Walker Melton , Andrew Strominger

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…

高能物理 - 理论 · 物理学 2025-11-10 Hideo Furugori , Naoki Ogawa , Sotaro Sugishita , Takahiro Waki

Holographic correlators on the celestial sphere of Minkowski space were recently defined in arXiv:2301.01810 as the extrapolation of bulk time-ordered correlation functions to the celestial sphere. In this work we explore the Mellin…

高能物理 - 理论 · 物理学 2024-12-17 Francesca Pacifico , Paolo Pergola , Charlotte Sleight

In celestial holography, four-dimensional scattering amplitudes are considered as two-dimensional conformal correlators of a putative two-dimensional celestial conformal field theory (CCFT). The simplest way of converting momentum space…

高能物理 - 理论 · 物理学 2022-09-07 Wei Fan , Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

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…

高能物理 - 理论 · 物理学 2022-06-29 Arjun Bagchi , Shamik Banerjee , Rudranil Basu , Sudipta Dutta

The four-dimensional (4D) Lorentz group $SL(2,\mathbb{C})$ acts as the two-dimensional (2D) global conformal group on the celestial sphere at infinity where asymptotic 4D scattering states are specified. Consequent similarities of 4D flat…

高能物理 - 理论 · 物理学 2017-10-04 Sabrina Pasterski , Shu-Heng Shao , Andrew Strominger

We develop a split representation for celestial amplitudes in celestial holography, by cutting internal lines of Feynman diagrams in Minkowski space. More explicitly, the bulk-to-bulk propagators associated with the internal lines are…

高能物理 - 理论 · 物理学 2023-11-16 Chi-Ming Chang , Reiko Liu , Wen-Jie Ma

A novel definition of holographic correlation functions on the celestial sphere of Minkowski space was recently introduced in arXiv:2301.01810 as the extrapolation of bulk time-ordered correlation functions to the celestial sphere. In this…

高能物理 - 理论 · 物理学 2025-02-06 Francesca Pacifico , Charlotte Sleight , Massimo Taronna

We explore the Mellin representation of conformal correlation functions recently proposed by Mack. Examples in the AdS/CFT context reinforce the analogy between Mellin amplitudes and scattering amplitudes. We conjecture a simple formula…

高能物理 - 理论 · 物理学 2011-03-18 Joao Penedones

We present the first computation of three-point celestial amplitudes in Minkowski space of massless scalars, photons, gluons, and gravitons. Such amplitudes were previously considered to be zero in the literature because the corresponding…

高能物理 - 理论 · 物理学 2023-07-12 Chi-Ming Chang , Wen-Jie Ma

Massless scattering amplitudes in four-dimensional Minkowski spacetime can be Mellin transformed to correlation functions on the celestial sphere at null infinity called celestial amplitudes. We study various properties of massless…

高能物理 - 理论 · 物理学 2019-10-23 Dhritiman Nandan , Anders Schreiber , Anastasia Volovich , Michael Zlotnikov

We propose a new program for computing a certain integrand of scattering amplitudes of four-dimensional gauge theories which we call the \textit{form factor integrand}, starting from 6d holomorphic theories on twistor space. We show that…

高能物理 - 理论 · 物理学 2023-01-03 Kevin Costello , Natalie M. Paquette

In this work we continue the investigation of the extrapolate dictionary for celestial holography recently proposed in [2301.01810], at both the perturbative and non-perturbative level. Focusing on scalar field theories, we give a complete…

高能物理 - 理论 · 物理学 2024-01-31 Lorenzo Iacobacci , Charlotte Sleight , Massimo Taronna

We compute the Mellin transforms of various two-dimensional integrable $S$-matrices, providing the first explicit, non-perturbative realizations of celestial CFT. In two dimensions, the Mellin transform is simply the Fourier transform in…

高能物理 - 理论 · 物理学 2023-03-22 Daniel Kapec , Adam Tropper

We consider manifestly crossing symmetric dispersion relations for Mellin amplitudes of scalar four point correlators in conformal field theories (CFTs). This allows us to set up the non-perturbative Polyakov bootstrap for CFTs in Mellin…

高能物理 - 理论 · 物理学 2021-05-31 Rajesh Gopakumar , Aninda Sinha , Ahmadullah Zahed

Continuing our program of deriving aspects of celestial holography from string theory, we extend the Roiban-Spradlin-Volovich-Witten (RSVW) formalism to celestial amplitudes. We reformulate the tree-level maximally-helicity-violating (MHV)…

高能物理 - 理论 · 物理学 2025-01-30 Igor Mol

Celestial holography is the conjecture that scattering amplitudes in $(d+2)$-dimensional asymptotically Minkowski spacetimes are dual to correlators of a $d$-dimensional conformal field theory (CFT) on the celestial sphere, called the…

高能物理 - 理论 · 物理学 2025-08-19 Federico Capone , Andy O'Bannon , Ronnie Rodgers , Somyadip Thakur
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