# Ambitwistor strings and the scattering equations at one loop

@article{Adamo2014AmbitwistorSA, title={Ambitwistor strings and the scattering equations at one loop}, author={Tim Adamo and Eduardo Casali and David Skinner}, journal={Journal of High Energy Physics}, year={2014}, volume={2014}, pages={1-34} }

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 massless states. At genus zero, these strings underpin the Cachazo-He-Yuan formulæ for tree level scattering of gravitons, gluons and scalars. In this paper we extend these formulæ in a number of directions. Firstly, we consider Ramond sector vertex operators and construct simple amplitudes…

## 177 Citations

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## References

SHOWING 1-10 OF 46 REFERENCES

### Ambitwistor strings and the scattering equations

- Mathematics
- 2013

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…

### Worldsheet factorization for twistor-strings

- Mathematics
- 2013

A bstractWe study the multiparticle factorization properties of two worldsheet theories which — at tree-level — describe the scattering of massless particles in four dimensions: the Berkovits-Witten…

### Lectures on two loop superstrings

- Physics
- 2002

In these lectures, recent progress on multiloop superstring perturbation theory is reviewed. A construction from first principles is given for an unambiguous and slice-independent two-loop…

### 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…

### Conformal scalar fields and chiral splitting on super Riemann surfaces

- Mathematics
- 1989

We provide a complete description of correlation functions of scalar superfields on a super Riemann surface, taking into account zero modes and non-trivial topology. They are built out of chirally…

### Scattering amplitudes and Wilson loops in twistor space

- Mathematics
- 2011

This paper reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for super-Yang–Mills. Wilson loops and amplitudes are derived from first principles using…

### Low energy expansion of the four-particle genus-one amplitude in type II superstring theory

- Physics, Mathematics
- 2008

A diagrammatic expansion of coefficients in the low-momentum expansion of the genus-one four-particle amplitude in type II superstring theory is developed. This is applied to determine coefficients…