One-loop Double Copy Relation from Twisted (Co)homology
High Energy Physics - Theory
2024-10-03 v2 Algebraic Geometry
Abstract
We propose a geometric relation between closed and open string amplitudes at one-loop. After imposing a homological splitting on the world-sheet torus twisted intersection theory is used to establish a one-loop double copy relation. The latter expresses a closed string amplitude by a pair of open string amplitudes and twisted intersection numbers. These inner products on the vector space of allowed differential forms are related to the twisted homology and cohomology groups associated with the Riemann-Wirtinger integral.
Cite
@article{arxiv.2403.05208,
title = {One-loop Double Copy Relation from Twisted (Co)homology},
author = {Pouria Mazloumi and Stephan Stieberger},
journal= {arXiv preprint arXiv:2403.05208},
year = {2024}
}
Comments
31 pages, LaTeX, 8 figures; v2: typos removed and matches published version in JHEP