Lorentzian contours for tree-level string amplitudes
Lorenz Eberhardt, Sebastian Mizera
SciPost Phys. 17, 078 (2024) · published 11 September 2024
- doi: 10.21468/SciPostPhys.17.3.078
- Submissions/Reports
Abstract
We engineer compact contours on the moduli spaces of genus-zero Riemann surfaces that achieve analytic continuation from Euclidean to Lorentzian worldsheets. These generalized Pochhammer contours are based on the combinatorics of associahedra and make the analytic properties of tree-level amplitudes entirely manifest for any number and type of external strings. We use them in practice to perform first numerical computations of open and closed string amplitudes directly in the physical kinematics for $n=4,5,6,7,8,9$. We provide a code that allows anyone to do such computations.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Institute of Physics, University of Amsterdam [IoP, UvA]
- 2 Institute for Advanced Study, Princeton [IAS]
Funders for the research work leading to this publication
- Institute for Advanced Study (IAS) (through Organization: Institute for Advanced Study, Princeton [IAS])
- United States Department of Energy [DOE]