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Related papers: A Celestial Dual for MHV Amplitudes

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Using tools from color-kinematics duality we propose a holographic construction of gravitational amplitudes, based on a 2d Kac-Moody theory on the celestial sphere. In the $N\to \infty$ limit the gauge group corresponds to $w_{1+\infty}$,…

High Energy Physics - Theory · Physics 2022-09-05 Alfredo Guevara

We show that, given a two-dimensional realization of the celestial OPE in self-dual Yang-Mills, we can find a scalar source around which scattering amplitudes replicate correlation functions computed from the 2D `gluon' operators in a limit…

High Energy Physics - Theory · Physics 2024-08-02 Walker Melton , Sruthi A. Narayanan

We show that two- and three-point celestial (C)CFT$_{d-1}$ amplitudes can be directly obtained from correlation functions in a unitary Lorentzian CFT$_d$ on $\mathbb{R}\times S^{d-1}$. The recipe involves a rescaling of the operators,…

High Energy Physics - Theory · Physics 2024-05-14 Leonardo Pipolo de Gioia , Ana-Maria Raclariu

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…

High Energy Physics - Theory · Physics 2017-10-04 Sabrina Pasterski , Shu-Heng Shao , Andrew Strominger

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 discuss supersymmetric Yang-Mills theory coupled to dilatons in the framework of celestial holography. We show that in the presence of point-like dilaton sources, the CCFT operators associated with the gauge supermultiplet acquire a…

High Energy Physics - Theory · Physics 2023-07-26 Tomasz R. Taylor , Bin Zhu

Celestial amplitudes obtained from Mellin transforming 4d momentum space scattering amplitudes contain distributional delta functions, hindering the application of conventional CFT techniques. In this paper, we propose to bypass this…

High Energy Physics - Theory · Physics 2023-06-22 Wei Bu , Sean Seet

We show how to formulate celestial twistor amplitudes in Yang-Mills (YM) and gravity. This is motivated by a refined holographic correspondence between the twistor transform and the light transform in the boundary Lorentzian CFT. The…

High Energy Physics - Theory · Physics 2023-04-26 Graham R. Brown , Joshua Gowdy , Bill Spence

Conventional massless celestial amplitudes are distributional and fail to realize the celestial OPE -- most sharply in the non-MHV paradox, where OPEs predict nonzero celestial amplitudes with helicities $-{+}{+}+$ that are known to vanish…

High Energy Physics - Theory · Physics 2025-12-16 Reiko Liu , Wen-Jie Ma

We argue that the scattering amplitudes in the maximally supersymmetric N=4 super-Yang-Mills theory possess a new symmetry which extends the previously discovered dual conformal symmetry. To reveal this property we formulate the scattering…

High Energy Physics - Theory · Physics 2009-12-22 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

We compute the celestial correlators corresponding to tree-level 5-gluon amplitudes in the type I superstring theory. Since celestial correlation functions are obtained by integrating over the full range of energies, there is no obvious…

High Energy Physics - Theory · Physics 2024-06-04 Lina Castiblanco , Gaston Giribet , Gabriel Marin , Francisco Rojas

Correlators in symmetric orbifold CFTs are given by a finite sum of admissible branched covers of the 2d spacetime. We consider a Gross-Mende like limit where all operators have large twist, and show that the corresponding branched covers…

High Energy Physics - Theory · Physics 2021-05-26 Matthias R. Gaberdiel , Rajesh Gopakumar , Bob Knighton , Pronobesh Maity

The purpose of this paper is to study the holomorphic multicollinear limit of (celestial) amplitudes and use it to further investigate the double residue condition for (hard celestial) amplitudes and the celestial operator product…

High Energy Physics - Theory · Physics 2024-03-01 Adam Ball , Yangrui Hu , Sabrina Pasterski

Celestial amplitudes are flat-space amplitudes which are Mellin-transformed to correlators living on the celestial sphere. In this note we present a recursion relation, based on a tree-level BCFW recursion, for gravitational celestial…

High Energy Physics - Theory · Physics 2019-06-20 Alfredo Guevara

Liouville Field Theory (LFT for short) is a two dimensional model of random surfaces, which is for instance involved in $2d$ string theory or in the description of the fluctuations of metrics in $2d$ Liouville quantum gravity. This is a…

Probability · Mathematics 2017-10-16 Hubert Lacoin , Rémi Rhodes , Vincent Vargas

The Cachazo-Strominger subleading soft graviton theorem for a positive helicity soft graviton is equivalent to the Ward identities for $\overline{SL(2,\mathbb C)}$ currents. This naturally gives rise to a $\overline{SL(2,\mathbb C)}$…

High Energy Physics - Theory · Physics 2021-12-02 Shamik Banerjee , Sudip Ghosh , Partha Paul

We compute bulk 3- and 4-point tachyon correlators in the 2d Liouville gravity with non-rational matter central charge c<1, following and comparing two approaches. The continuous CFT approach exploits the action on the tachyons of the…

High Energy Physics - Theory · Physics 2009-11-11 I. K. Kostov , V. B. Petkova

We compute tree-level celestial operator product expansions (OPE) in a bosonic sub-sector of the Berkovits-Witten conformal supergravity from the scattering amplitudes in the MHV configuration. While the OPE between a leading soft graviton…

High Energy Physics - Theory · Physics 2025-11-06 Nirmal Ghorai , Partha Paul , Nemani V. Suryanarayana

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

We construct a four supercharges Liouville superconformal field theory in four dimensions. The Liouville superfield is chiral and its lowest component is a log-correlated complex scalar whose real part carries a background charge. The…

High Energy Physics - Theory · Physics 2019-11-01 Tom Levy , Yaron Oz , Avia Raviv-Moshe