Strings on celestial sphere

2018/06/30 by Stephan Stieberger, Tomasz R. Taylor · 1 citation
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Boson #Celestial sphere #Classical mechanics #Cosmology and Gravitation Theories #Gravitation #Graviton #Green–Schwarz mechanism #Heterotic string theory #Lorentz transformation #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Scattering amplitude #Supergravity #Superstring theory #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2018.08.019

28 pages, harvmac; v2: added Appendix A, final version to appear in Nucl. Phys. B

arxiv created 2018/09/01 · openalex publication_date 2018/09/05 · arxiv updated 2018/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We transform superstring scattering amplitudes into the correlation functions of primary conformal fields on two-dimensional celestial sphere. The points on celestial sphere are associated to the asymptotic directions of (light-like) momenta of external particles, with the Lorentz group realized as the SL(2,C) conformal symmetry of the sphere. The energies are dualized through Mellin transforms into the parameters that determine dimensions of the primaries. We focus on four-point amplitudes involving gauge bosons and gravitons in type I open superstring theory and in closed heterotic superstring theory at the tree-level.

Citations

• Multiple polylogarithms and mixed Tate motives
• Single-valued periods and multiple zeta values
• A holographic reduction of Minkowski space–time
• On Nielsen's generalized polylogarithms and their numerical calculation
• Construction of a crossing-simmetric, Regge-behaved amplitude for linearly rising trajectories
• String theory beyond the Planck scale
• New relations for gauge-theory amplitudes

Cited by

• High Energy String Theory and the Celestial Sphere