# Ambitwistor strings and the scattering equations

@article{Mason2013AmbitwistorSA, title={Ambitwistor strings and the scattering equations}, author={Lionel Mason and David Skinner}, journal={Journal of High Energy Physics}, year={2013}, volume={2014}, pages={1-34} }

A bstractWe show that string theories admit chiral infinite tension analogues in which only the massless parts of the spectrum survive. Geometrically they describe holomorphic maps to spaces of complex null geodesics, known as ambitwistor spaces. They have the standard critical space-time dimensions of string theory (26 in the bosonic case and 10 for the superstring). Quantization leads to the formulae for tree-level scattering amplitudes of massless particles found recently by Cachazo, He and…

## 302 Citations

### Ambitwistor strings and the scattering equations at one loop

- Physics
- 2014

A bstractAmbitwistor strings are chiral, infinite tension analogues of conventional string theory whose target space is the space of complex null geodesics and whose spectrum consists exclusively of…

### Ambitwistor Strings: Worldsheet Approaches to perturbative Quantum Field Theories

- Physics
- 2016

Tree-level scattering amplitudes in massless theories not only exhibit a simplicity entirely unexpected from Feynman diagrams, but also an underlying structure remarkably reminiscent of worldsheet…

### The complex null string, Galilean conformal algebra and scattering equations

- Mathematics, Physics
- 2017

A bstractThe scattering equation formalism for scattering amplitudes, and its stringy incarnation, the ambitwistor string, remains a mysterious construction. In this paper, we pursue the study a…

### Ambitwistor strings at null infinity and (subleading) soft limits

- Mathematics
- 2014

The relationship between BMS symmetries at null infinity and Weinberg's soft theorems for gravitons and photons together with their subleading extensions are developed using ambitwistor string…

### Scattering equations in AdS: scalar correlators in arbitrary dimensions

- Mathematics
- 2020

We introduce a bosonic ambitwistor string theory in AdS space. Even though the theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to derive a novel formula…

### Soft theorems from conformal field theory

- Mathematics
- 2015

A bstractStrominger and collaborators recently proposed that soft theorems for gauge and gravity amplitudes can be interpreted as Ward identities of a 2d CFT at null infinity. In this paper, we will…

### Gluons and gravitons at one loop from ambitwistor strings

- Physics
- 2017

A bstractWe present new and explicit formulae for the one-loop integrands of scattering amplitudes in non-supersymmetric gauge theory and gravity, valid for any number of particles. The results…

### One-loop amplitudes on the Riemann sphere

- Mathematics
- 2015

A bstractThe scattering equations provide a powerful framework for the study of scattering amplitudes in a variety of theories. Their derivation from ambitwistor string theory led to proposals for…

### A superstring field theory for supergravity

- Physics
- 2017

A bstractA covariant closed superstring field theory, equivalent to classical tendimensional Type II supergravity, is presented. The defining conformal field theory is the ambitwistor string…

### Ambitwistor strings in six and five dimensions

- Mathematics
- 2021

Ambitwistor strings are chiral (holomorphic) strings whose target is the space of complex null geodesics, ambitwistor space. We introduce twistor representations of ambitwistor space in 6 and 5…

## References

SHOWING 1-10 OF 43 REFERENCES

### The kinematic algebras from the scattering equations

- Mathematics
- 2014

A bstractWe study kinematic algebras associated to the recently proposed scattering equations, which arise in the description of the scattering of massless particles. In particular, we describe the…

### Perturbative Gauge Theory as a String Theory in Twistor Space

- Mathematics, Physics
- 2003

Perturbative scattering amplitudes in Yang-Mills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes. To interpret these results, we Fourier…

### Conformal Supergravity in Twistor-String Theory

- Physics, Geology
- 2004

Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory,…

### Twistor Strings for N=8 Supergravity

- Physics
- 2013

This paper presents a worldsheet theory describing holomorphic maps to twistor space with N fermionic directions. The theory is anomaly free when N=8. Via the Penrose transform, the vertex operators…

### Scattering in three dimensions from rational maps

- Mathematics
- 2013

A bstractThe complete tree-level S-matrix of four dimensional $ \mathcal{N}=4 $ super Yang-Mills and $ \mathcal{N}=8 $ supergravity has compact forms as integrals over the moduli space of certain…

### Scattering equations and Kawai-Lewellen-Tye orthogonality

- Mathematics
- 2014

Several recent developments point to the fact that rational maps from $n$-punctured spheres to the null cone of $D$-dimensional momentum space provide a natural language for describing the scattering…

### Scattering of massless particles: scalars, gluons and gravitons

- Mathematics
- 2014

A bstractIn a recent note we presented a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimension. In this paper we show that a…