Gluon Tree Amplitudes in Open Twistor String Theory

Abstract

We show how the link variables of Arkani-Hamed, Cachazo, Cheung and Kaplan (ACCK), can be used to compute general gluon tree amplitudes in the twistor string. They arise from instanton sectors labelled by d, with d=n-1, where n is the number of negative helicities. Read backwards, this shows how the various forms for the tree amplitudes studied by ACCK can be grouped into contour integrals whose structure implies the existence of an underlying string theory.

36 pages

References in corpus (3)

• All tree-level amplitudes in N=4 SYM
• Current Algebra on the Torus
• From Twistor String Theory To Recursion Relations

Cited by in corpus (21)

• The Amplituhedron
• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Unification of Residues and Grassmannian Dualities
• Double copy structure of CFT correlators
• The Polynomial Form of the Scattering Equations
• Solution to the Ward Identities for Superamplitudes
• Twistor-Strings, Grassmannians and Leading Singularities
• Local Spacetime Physics from the Grassmannian
• The Grassmannian and the Twistor String: Connecting All Trees in N=4 SYM
• Generating All Tree Amplitudes in N=4 SYM by Inverse Soft Limit
• Connected formulas for amplitudes in standard model
• A Direct Proof of BCFW Recursion for Twistor-Strings
• A Grassmannian Etude in NMHV Minors
• From 4d Ambitwistor Strings to On Shell Diagrams and Back
• Propagators, BCFW Recursion and New Scattering Equations at One Loop
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• A Link Representation for Gravity Amplitudes
• General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory
• Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory
• Yangian in the Twistor String
• A note on NMHV form factors from the Graßmannian and the twistor string