From 4d Ambitwistor Strings to On Shell Diagrams and Back

Abstract

We investigate the relation between 4d ambitwistor string theory and on-shell diagrams for planar N=4 super-Yang-Mills and N=8 supergravity, and deduce several new results about their scattering amplitudes at tree-level and 1-loop. In particular, we derive new Grassmannian integral formulae for tree-level amplitudes and obtain new worldsheet formulae for 1-loop amplitudes which are manifestly supersymmetric and supported on scattering equations refined by MHV degree.

v3. minor changes, published in JHEP

References in corpus (14)

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• From Twistor String Theory To Recursion Relations
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• A note on connected formula for form factors
• The connected prescription for form factors in twistor space
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Cited by in corpus (20)

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• Two-Loop Scattering Amplitudes from Ambitwistor Strings: from Genus Two to the Nodal Riemann Sphere
• Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality
• Propagators, BCFW Recursion and New Scattering Equations at One Loop
• One-loop Parke-Taylor factors for quadratic propagators from massless scattering equations
• One-Loop Yang-Mills Integrands from Scattering Equations
• Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• Chiral Splitting and $\mathcal{N}=4$ Einstein--Yang--Mills Tree Amplitudes in 4d
• Non-planar BCFW Grassmannian Geometries
• A Monte Carlo Approach to the 4D Scattering Equations
• $\mathcal{N}=7$ On-Shell Diagrams and Supergravity Amplitudes in Momentum Twistor Space
• New Worldsheet Formulae for Conformal Supergravity Amplitudes
• Poles At Infinity in On-shell Diagrams
• A note on NMHV form factors from the Graßmannian and the twistor string
• Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
• Spectrum, Scattering Amplitudes, and String Field Theory of 4 Dimensional Twistor String