An analytic superfield formalism for tree superamplitudes in D=10 and D=11

Abstract

Tree amplitudes of 10D supersymmetric Yang-Mills theory (SYM) and 11D supergravity (SUGRA) are collected in multi-particle counterparts of analytic on-shell superfields. These have essentially the same form as their chiral 4D counterparts describing $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ SUGRA, but with components dependent on a different set of bosonic variables. These are the D=10 and D=11 spinor helicity variables, the set of which includes the spinor frame variable (Lorentz harmonics) and a scalar density, and generalized homogeneous coordinates of the coset $\frac{SO(D-2)}{SO(D-4)\otimes U(1)}$ (internal harmonics). We present an especially convenient parametrization of the spinor harmonics (Lorentz covariant gauge fixed with the use of an auxiliary gauge symmetry) and use this to find (a gauge fixed version of) the 3-point tree superamplitudes of 10D SYM and 11D SUGRA which generalize the 4 dimensional anti-MHV superamplitudes.

LaTeX, 51pp. V2: improved and completed; to be published in JHEP; 63pp

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Cited by in corpus (6)

• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• Recursion and worldsheet formulae for 6d superamplitudes
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a $Spin(9)$-structure
• Properties of multiple D0-brane system: 11D origin, equations of motion and their solutions