# Gauge and gravity amplitudes on the celestial sphere

@article{Kalyanapuram2021GaugeAG, title={Gauge and gravity amplitudes on the celestial sphere}, author={Nikhil Kalyanapuram}, journal={Physical Review D}, year={2021}, volume={103}, pages={085015} }

The analytic structures of scattering amplitudes in gauge theory and gravity are examined on the celestial sphere. The celestial amplitudes in the two theories---computed by employing a regulated Mellin transform---can be compared at low multiplicity. It is established by direct computation that up to five external particles, the double copy relations of Kawai, Lewellen, and Tye continue to hold identically, modulo certain multiplicative factors which are explicitly determined. Supersymmetric…

## 9 Citations

### A double copy for asymptotic symmetries in the self-dual sector

- MathematicsJournal of High Energy Physics
- 2021

We give a double copy construction for the symmetries of the self-dual sectors of Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double copy constructible…

### Celestial Holography

- Physics
- 2021

Celestial holography proposes a duality between the gravitational S-matrix and correlators in a conformal field theory living on the celestial sphere. In this white paper, solicited for the 2022…

### Holographic Representations of Supertranslation Eigenstates

- Physics
- 2021

We construct by direct computation holographic presentations of supertranslation vacua given a set of supermomenta. To do this, we make use of two-dimensional dual models recently discovered by the…

### Soft gravity by squaring soft QED on the celestial sphere

- PhysicsPhysical Review D
- 2021

We recast the soft $S$ matrices on the celestial sphere as correlation functions of certain two-dimensional models of topological defects. In pointing out the double-copy structure between the soft…

### Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and Gravity

- Mathematics
- 2021

Soft theorems in gauge theory and gravity encode the universal properties of scattering amplitudes as the zero frequency limit of one or more external states is approached. When the participating…

### Lectures on Celestial Holography

- Physics
- 2021

These notes consist of 3 lectures on celestial holography given at the Pre-Strings school 2021. We start by reviewing how semiclassically, the subleading soft graviton theorem implies an enhancement…

### BCJ amplitude relations for Anti-de Sitter boundary correlators in embedding space

- Physics, MathematicsJournal of High Energy Physics
- 2021

Abstract
We generalize the color/kinematics duality of flat-space scattering amplitudes to the embedding space formulation of AdS boundary correlators. Kinematic numerators and propagators are…

### Celestial superamplitudes

- PhysicsPhysical Review D
- 2021

We study celestial amplitudes in (super) Yang-Mills theory using a parameterisation of the spinor helicity variables where their overall phase is not fixed by the little group action. In this…

### Holographic soft S -matrix in QED and gravity

- PhysicsPhysical Review D
- 2021

At leading order, the S-matrices in QED and gravity are known to factorise, providing unambiguous determinations of the parts divergent due to infrared contributions. The soft Smatrices defined in…

## References

SHOWING 1-10 OF 57 REFERENCES

### Double Copy for Celestial Amplitudes.

- PhysicsPhysical review letters
- 2021

It is shown that there exists a well-defined procedure for a celestial double copy, which requires a generalization of the usual squaring of numerators which entails first promoting them to generalized differential operators acting on external wave functions and then squaring them.

### Celestial double copy from the worldsheet

- Physics, Mathematics
- 2020

Using the ambitwistor string, we compute tree-level celestial amplitudes for biadjoint scalars, Yang-Mills and gravity to all multiplicities. They are presented in compact CHY-like formulas with…

### Modified celestial amplitude in Einstein gravity

- Physics, GeologyJournal of High Energy Physics
- 2020

In this paper we evaluate the modified celestial amplitude for gravitons and gluons, as defined in [ 4 ]. We find that the modified (tree) amplitude is finite for gravitons in Einstein gravity. The…

### Scattering on plane waves and the double copy

- Physics
- 2017

Perturbatively around flat space, the scattering amplitudes of gravity are related to those of Yang–Mills by colour-kinematic duality, under which gravitational amplitudes are obtained as the ‘double…

### New symmetries of massless QED

- Physics, Mathematics
- 2014

A bstractAn infinite number of physically nontrivial symmetries are found for abelian gauge theories with massless charged particles. They are generated by large U(1) gauge transformations that…

### Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere

- Mathematics
- 2017

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…

### Symmetries of free massless particles and soft theorems

- MathematicsGeneral Relativity and Gravitation
- 2019

AbstractIn an earlier paper we have constructed a basis of massless single particle quantum states which transform in the unitary principal series representation of the four dimensional Lorentz…

### Soft S-Matrices, Defects and the Double Copy on the Celestial Sphere

- Physics
- 2020

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…

### Scattering Amplitudes and the Positive Grassmannian

- Mathematics
- 2012

We establish a direct connection between scattering amplitudes in planar four-dimensional theories and a remarkable mathematical structure known as the positive Grassmannian. The central physical…