# Celestial holography meets twisted holography: 4d amplitudes from chiral correlators

@article{Costello2022CelestialHM, title={Celestial holography meets twisted holography: 4d amplitudes from chiral correlators}, author={Kevin J. Costello and Natalie M. Paquette}, journal={Journal of High Energy Physics}, year={2022}, volume={2022} }

We propose a new program for computing a certain integrand of scattering amplitudes of four-dimensional gauge theories which we call the form factor integrand, starting from 6d holomorphic theories on twistor space. We show that the form factor integrands can be expressed as sums of products of 1.) correlators of a 2d chiral algebra, related to the algebra of asymptotic symmetries uncovered recently in the celestial holography program, and 2.) OPE coefficients of a 4d non-unitary CFT. We prove…

## 26 Citations

### Celestial holography on Kerr-Schild backgrounds

- PhysicsJournal of High Energy Physics
- 2022

We explore the celestial holography proposal for non-trivial asymptotically flat backgrounds including the Coulomb field of a static and spinning point charge, their gravitational counterparts…

### Celestial chiral algebras, colour-kinematics duality and integrability

- MathematicsJournal of High Energy Physics
- 2023

We study celestial chiral algebras appearing in celestial holography, using the light-cone gauge formulation of self-dual Yang-Mills theory and self-dual gravity, and explore also a deformation of…

### On the associativity of 1-loop corrections to the celestial operator product in gravity

- PhysicsJournal of High Energy Physics
- 2023

The question of whether the holomorphic collinear singularities of graviton amplitudes define a consistent chiral algebra has garnered much recent attention. We analyse a version of this question for…

### Integrable field theories and their CCFT duals

- Physics, MathematicsJournal of High Energy Physics
- 2023

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…

### Celestial amplitudes as AdS-Witten diagrams

- PhysicsJournal of High Energy Physics
- 2022

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)…

### Gravity from holomorphic discs and celestial $Lw_{1+\infty}$ symmetries

- Mathematics
- 2022

A BSTRACT : In split signature, global twistor constructions for conformally self-dual (SD) gravity and Yang-Mills construct solutions from twistor data that can be expressed in terms of free…

### One-loop corrections to the celestial chiral algebra from Koszul Duality

- Mathematics, Physics
- 2023

We consider self-dual Yang-Mills theory (SDYM) in four dimensions and its lift to holomorphic BF theory on twistor space. Following the work of Costello and Paquette, we couple SDYM to a quartic…

### Deforming Soft Algebras for Gauge Theory

- Mathematics
- 2022

Symmetry algebras deriving from towers of soft theorems can be deformed by a short list of higher-dimension Wilsonian corrections to the eﬀective action. We study the simplest of these deformations…

### The 4d/2d correspondence in twistor space and holomorphic Wilson lines

- MathematicsJournal of High Energy Physics
- 2022

We give an explicit realization of the 4d local operator / 2d conformal block correspondence of Costello and Paquette in the case of gauge theories. This is accomplished by lifting the 4d local…

## References

SHOWING 1-10 OF 59 REFERENCES

### Celestial operator products from the worldsheet

- PhysicsJournal of High Energy Physics
- 2022

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…

### Celestial w1+∞ Symmetries from Twistor Space

- MathematicsSymmetry, Integrability and Geometry: Methods and Applications
- 2022

. We explain how twistor theory represents the self-dual sector of four dimensional gravity in terms of the loop group of Poisson diﬀeomorphisms of the plane via Penrose’s nonlinear graviton…

### Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

- Mathematics
- 1994

We develop techniques to compute higher loop string amplitudes for twistedN=2 theories withĉ=3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in…

### Celestial amplitudes and conformal soft theorems

- PhysicsClassical and Quantum Gravity
- 2019

Scattering amplitudes in d + 2 dimensions can be expressed in terms of a conformal basis, for which the S-matrix behaves as a CFT correlation function on the celestial d-sphere. We explain how…

### 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…

### Holographic symmetry algebras for gauge theory and gravity

- Mathematics, PhysicsJournal of High Energy Physics
- 2021

All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting…

### Ambidextrous light transforms for celestial amplitudes

- PhysicsJournal of High Energy Physics
- 2022

Low multiplicity celestial amplitudes of gluons and gravitons tend to be distributional in the celestial coordinates z, z ¯ $$ \overline{z} $$ . We provide a new systematic remedy to this situation…

### Celestial operator product expansions and w1+∞ symmetry for all spins

- PhysicsJournal of High Energy Physics
- 2022

The operator product expansion of massless celestial primary operators of arbitrary spin is investigated. Poincaré symmetry is found to imply a set of recursion relations on the operator product…

### Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond

- Physics
- 2005

We compute the leading-color (planar) three-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4 - 2{epsilon} dimensions, as a Laurent expansion about {epsilon} = 0 including the…

### Twisted Supergravity and Koszul Duality: A Case Study in AdS$$_3$$

- MathematicsCommunications in Mathematical Physics
- 2021

In this note, we study a simplified variant of the familiar holographic duality between supergravity on AdS$_3\times S^3\times T^4$ and the SCFT (on the moduli space of) the symmetric orbifold theory…