Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory

Abstract

The gluon tree amplitudes of open twistor string theory, defined as contour integrals over the ACCK link variables, are shown to satisfy the BCFW relations, thus confirming that they coincide with the corresponding amplitudes in gauge field theory. In this approach, the integration contours are specified as encircling the zeros of certain constraint functions that force the appropriate relation between the link variables and the twistor string world-sheet variables. To do this, methods for calculating the tree amplitudes using link variables are developed further including diagrammatic methods for organizing and performing the calculations.

38 pages

References in corpus (10)

• A Duality For The S Matrix
• The S-Matrix in Twistor Space
• All tree-level amplitudes in N=4 SYM
• Solution to the Ward Identities for Superamplitudes
• The Grassmannian and the Twistor String: Connecting All Trees in N=4 SYM
• Twistor transform of all tree amplitudes in N=4 SYM theory
• A Direct Proof of BCFW Recursion for Twistor-Strings
• A Grassmannian Etude in NMHV Minors
• Gluon Tree Amplitudes in Open Twistor String Theory
• General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory

Cited by in corpus (7)

• Proof of the Formula of Cachazo, He and Yuan for Yang-Mills Tree Amplitudes in Arbitrary Dimension
• Gravity in Twistor Space and its Grassmannian Formulation
• All-order celestial OPE in the MHV sector
• Gluon scattering on self-dual radiative gauge fields
• Worldsheet factorization for twistor-strings
• A Link Representation for Gravity Amplitudes
• Conformal higher-spin symmetries in twistor string theory