A gluing operator for the ambitwistor string
Journal of High Energy Physics
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Roehrig, K., & Skinner, D. (2018). A gluing operator for the ambitwistor string. Journal of High Energy Physics, 2018 (69) https://doi.org/10.1007/JHEP01(2018)069
We present a new operator in the ambitwistor string which glues together correlators with fewer points or of lower genus. It underpins the recursive construction of tree-level CHY scattering amplitudes by Dolan & Goddard, as well as the computation of loop integrands on a Riemann sphere by Geyer et al. The gluing operator is a tractable object due to the finiteness of the spectrum. In particular, we demonstrate how it gives rise to the complete one-loop integrand in SYM and SUGRA. The operator is conjectured to be the path integral incarnation of the ambitwistor string propagator, and to coincide with the field theory limit of the standard string theory propagator.
BRST quantization, scattering amplitudes, conformal field theory, sigma models
The work of KR and DS is supported in part by a Marie Curie Career Integration Grant (FP/2007-2013/631289). The work of DS is supported in part by STFC consolidated grant ST/L000385/1.
European Commission (631289)
Science and Technology Facilities Council (ST/P000681/1)
External DOI: https://doi.org/10.1007/JHEP01(2018)069
This record's URL: https://www.repository.cam.ac.uk/handle/1810/277881
Attribution 4.0 International
Licence URL: http://creativecommons.org/licenses/by/4.0/
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