Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity

Abstract

We show that 10D spinor helicity formalism can be understood as spinor moving frame approach to supersymmetric particles extended to the description of amplitudes. This allows us to develop the spinor helicity formalism for 11D supergravity and a new constrained superfield formalism for 10D SYM and 11D SUGRA amplitudes. We show how the constrained on-shell superfields, one-particle counterparts of the superamplitudes, can be obtained by quantization of massless superparticle mechanics. We make some stages towards the calculation of amplitudes of 10D SYM and 11D SUGRA in this framework. In particular we have found supersymmetric Ward identities for constrained amplitudes and an especially convenient gauge, fixed on the spinor frame variables corresponding to scattered particles, which promises to be an extremely useful tool for further development of our approach. We also discuss a candidate for generalization of the BCFW recurrent relations for the constrained tree superamplitudes, indicate and discuss a problem of dependence of the expressions obtained with it on a deformation vector, which is not fixed uniquely in higher dimensional $D>4$ cases.

73 pages, no figures. V2: revised. Discussion improved and extended, 78 pages. V3. Published version, 82 pages

References in corpus (24)

• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Tensionless Strings and the Weak Gravity Conjecture
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• Amplitudes and Spinor-Helicity in Six Dimensions
• Ambitwistor strings in 4-dimensions
• Generating Tree Amplitudes in N=4 SYM and N=8 SG
• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• 5 loops in 24/5 dimensions
• Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
• The ultra-violet question in maximally supersymmetric field theories
• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• A Worldsheet Theory for Supergravity
• Untwisting the twistor superstring
• Amplitudes on plane waves from ambitwistor strings
• From 4d Ambitwistor Strings to On Shell Diagrams and Back
• D=11 massless superparticle covariant quantization, pure spinor BRST charge and hidden symmetries
• The complex null string, Galilean conformal algebra and scattering equations
• Spinor moving frame, M0-brane covariant BRST quantization and intrinsic complexity of the pure spinor approach
• Twistor/ambitwistor strings and null-superstrings in spacetime of D=4,10 and 11 dimensions
• Equations of motion from Cederwall's pure spinor superspace actions
• Supervertices and Non-renormalization Conditions in Maximal Supergravity Theories
• 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
• On D=11 supertwistors, superparticle quantization and a hidden SO(16) symmetry of supergravity

Cited by in corpus (8)

• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ II: Potentials
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• Recursion and worldsheet formulae for 6d superamplitudes
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• Properties of multiple D0-brane system: 11D origin, equations of motion and their solutions
• On 10D SYM superamplitudes
• High Energy Behaviour in Maximally Supersymmetric Gauge Theories in Various Dimensions