# Ambitwistor strings in four dimensions.

@article{Geyer2014AmbitwistorSI, title={Ambitwistor strings in four dimensions.}, author={Yvonne Geyer and Arthur Lipstein and Lionel Mason}, journal={Physical review letters}, year={2014}, volume={113 8}, pages={ 081602 } }

We develop ambitwistor string theories for four dimensions to obtain new formulas for tree-level gauge and gravity amplitudes with arbitrary amounts of supersymmetry. Ambitwistor space is the space of complex null geodesics in complexified Minkowski space, and in contrast to earlier ambitwistor strings, we use twistors rather than vectors to represent this space. Although superficially similar to the original twistor string theories of Witten, Berkovits, and Skinner, these theories differ in…

## 144 Citations

### 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…

### 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…

### Chapter 6: Ambitwistor Strings and Amplitudes from the Worldsheet

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2022

Starting with Witten’s twistor string, chiral string theories have emerged that describe field theory amplitudes without the towers of massive states of conventional strings. These models are known…

### 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…

### 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…

### Supertwistor description of ambitwistor strings

- PhysicsJournal of High Energy Physics
- 2020

A new ambitwistor string is constructed based on a ten-dimensional super-twistor model for the massless superparticle. Although covariant quantization is complicated by reducibility issues, a…

### Twistor/ambitwistor strings and null-superstrings in spacetime of D=4, 10 and 11 dimensions

- Physics
- 2014

A bstractWe show that, at the classical level, the recently proposed ‘ambitwistor string’ model is equivalent to the spinor moving frame formulation of null-supersting, which in its turn is…

### Ambitwistor strings and amplitudes in curved backgrounds

- Physics
- 2018

Feynman diagrams have been superseded as the tool of choice for calculating scattering amplitudes. Various other methods are not only more efficient but also explicitly exhibit beautiful structures…

### 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…

### 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…

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