On Chiral Splitting and the Ambitwistor String

Abstract

Scattering amplitudes computed by superstring perturbation theory are known to holomorphically split into chiral half integrands at fixed internal loop momentum. It is established by direct computation that upon reduction to the ordinary moduli space, the chiral half integrands of the superstring match those computed by the ambitwistor string in the limit of zero tension (${\alpha }^{\prime }\to \infty$). Subtleties that arise at higher genus due to the nonprojectedness of the supermoduli space are considered and arguments as to their resolution are furnished.

arXiv commentv2: 14 pages, references updated

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• The Holographic Soft $S$-Matrix in QED and Gravity
• Gauge and Gravity Amplitudes on the Celestial Sphere
• Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and Gravity
• One-loop matrix elements of effective superstring interactions: ${\alpha }^{\prime }$-expanding loop integrands
• Holographic Representations of Supertranslation Eigenstates