A Grassmannian Etude in NMHV Minors

Abstract

Arkani-Hamed, Cachazo, Cheung and Kaplan have proposed a Grassmannian formulation for the S-matrix of N=4 Yang-Mills as an integral over link variables. In parallel work, the connected prescription for computing tree amplitudes in Witten's twistor string theory has also been written in terms of link variables. In this paper we extend the six- and seven-point results of arXiv:0909.0229 and arXiv:0909.0499 by providing a simple analytic proof of the equivalence between the two formulas for all tree-level NMHV superamplitudes. Also we note that a simple deformation of the connected prescription integrand gives directly the ACCK Grassmannian integrand in the limit when the deformation parameters equal zero.

17 pages

References in corpus (6)

• A Duality For The S Matrix
• Dual Superconformal Invariance, Momentum Twistors and Grassmannians
• The Grassmannian Origin Of Dual Superconformal Invariance
• Twistor-Strings, Grassmannians and Leading Singularities
• Unraveling L_{n,k}: Grassmannian Kinematics
• Gluon Tree Amplitudes in Open Twistor String Theory

Cited by in corpus (23)

• The Amplituhedron
• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Towards a Basis for Planar Two-Loop Integrals
• Unification of Residues and Grassmannian Dualities
• Double copy structure of CFT correlators
• Gravity in Twistor Space and its Grassmannian Formulation
• On-shell Diagrams, Graßmannians and Integrability for Form Factors
• 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
• A Direct Proof of BCFW Recursion for Twistor-Strings
• From 4d Ambitwistor Strings to On Shell Diagrams and Back
• A new integral formula for supersymmetric scattering amplitudes in three dimensions
• Propagators, BCFW Recursion and New Scattering Equations at One Loop
• Inverse Soft Factors and Grassmannian Residues
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• A Link Representation for Gravity Amplitudes
• Soft Theorem of N=4 SYM in Grassmannian Formulation
• A Monte Carlo Approach to the 4D Scattering Equations
• Yangian in the Twistor String
• Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory
• $\mathcal{N}=7$ On-Shell Diagrams and Supergravity Amplitudes in Momentum Twistor Space
• A note on NMHV form factors from the Graßmannian and the twistor string
• Grassmannian Integrals in Minkowski Signature, Amplitudes, and Integrability