Abstract
We use Picard-Lefschetz theory to prove a new formula for intersection numbers of twisted cocycles associated with a given arrangement of hyperplanes. In a special case when this arrangement produces the moduli space of punctured Riemann spheres, intersection numbers become tree-level scattering amplitudes of quantum field theories in the Cachazo-He-Yuan formulation.
- Received 14 November 2017
- Revised 28 February 2018
DOI:https://doi.org/10.1103/PhysRevLett.120.141602
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Published by the American Physical Society