Strings on Celestial Sphere

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.

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

References in corpus (9)

• New Relations for Gauge-Theory Amplitudes
• Gluon Amplitudes as 2d Conformal Correlators
• Low's Subleading Soft Theorem as a Symmetry of QED
• 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
• Tree-level gluon amplitudes on the celestial sphere
• New Relations for Einstein-Yang-Mills Amplitudes
• Graviton as a Pair of Collinear Gauge Bosons
• Graviton Amplitudes from Collinear Limits of Gauge Amplitudes
• SV-map between Type I and Heterotic Sigma Models

Cited by in corpus (60)

• Lectures on Celestial Amplitudes
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Conformally Soft Photons and Gravitons
• Conformally Soft Theorem in Gauge Theory
• Celestial amplitudes and conformal soft theorems
• Symmetries of Celestial Amplitudes
• The Holographic Nature of Null Infinity
• Celestial Amplitudes from UV to IR
• Conformally Soft Theorem In Gravity
• Extended BMS Algebra of Celestial CFT
• Celestial Amplitudes: Conformal Partial Waves and Soft Limits
• BMS Symmetry of Celestial OPE
• Extended Super BMS Algebra of Celestial CFT
• MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
• Celestial Diamonds: Conformal Multiplets in Celestial CFT
• Double Copy for Celestial Amplitudes
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Conformal Block Expansion in Celestial CFT
• MHV Gluon Scattering Amplitudes from Celestial Current Algebras
• Primary Fields in Celestial CFT
• Lectures on Celestial Holography
• Notes on Conformal Soft Theorems and Recursion Relations in Gravity
• Loops on the Celestial Sphere
• Modified celestial amplitude in Einstein gravity
• Celestial Current Algebra from Low's Subleading Soft Theorem
• Celestial double copy from the worldsheet
• Soft Limits of Yang-Mills Amplitudes and Conformal Correlators
• UV considerations on scattering amplitudes in a web of theories
• On loop celestial amplitudes for gauge theory and gravity
• Relativistic partial waves for celestial amplitudes
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• Descendants in celestial CFT and emergent multi-collinear factorization
• Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators
• From Celestial Correlators to AdS, and back
• Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes
• On Sugawara construction on Celestial Sphere
• New non-perturbative de Sitter vacua in ${\alpha }^{\prime }$-complete cosmology
• Massive Spinning Bosons on the Celestial Sphere
• The structure of IR divergences in celestial gluon amplitudes
• Bulk locality from the celestial amplitude
• Implications of Superrotations
• Celestial Superamplitudes
• Conformally Soft Fermions
• Towards higher-spin holography in flat space
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• Poincaré Constraints on Celestial Amplitudes
• The Grassmannian for Celestial Superamplitudes
• Integrable Field Theories and Their CCFT Duals
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes
• Field theory expansions of string theory amplitudes
• Zwanziger's pairwise little group on the celestial sphere
• Celestial Berends-Giele current
• Celestial IR divergences and the effective action of supertranslation modes
• The Sky Remembers everything: Celestial amplitude, Shadow and OPE in quadratic EFT of gravity
• Celestial OPE blocks
• Celestial OPEs and $w_{1+\infty }$ algebra from worldsheet in string theory
• Celestial Eikonal Amplitudes in the Near-Horizon Region
• Wilson loop of the heterotic sigma model and the sv-map
• Celestial Holography