Work

One-loop double copy relation from twisted (co)homology

Year: 2024

Type: article

Abstract: A bstract 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 twisted differential forms are related to the twisted homology and cohomology groups associated with the Riemann-Wirtinger integral.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep10(2024)148

Authors: Pouria Mazloumi, Stephan Stieberger

Institutions: Johannes Gutenberg University Mainz, Max Planck Society, Max Planck Institute for Physics, Kavli Institute for Theoretical Physics

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Kavli Institute for Theoretical Physics, University of California, Santa Barbara

Awards: G3398237449, G4689434848, Kavli Institute for Theoretical Physics