Eleven dimensional supergravity in light cone gauge

TL;DR

This paper develops a light-cone gauge supersymmetric formulation of eleven-dimensional supergravity, providing new superfield representations, invariant 4-point functions, and insights into higher derivative interactions in supergravity and super Yang-Mills theories.

Contribution

It introduces a novel light-cone superfield formulation for 11D supergravity and derives invariant 4-point functions and interaction vertices, advancing the understanding of supersymmetric interactions.

Findings

Derived all higher derivative 4-point functions invariant under supersymmetry.

Presented superfield representations for scattering amplitudes and interaction vertices.

Determined all 4-point higher derivative vertices in 10D supersymmetric Yang-Mills theory.

Abstract

Light-cone gauge manifestly supersymmetric formulation of eleven dimensional supergravity is developed. The formulation is given entirely in terms of light cone scalar superfield, allowing us to treat all component fields on an equal footing. All higher derivative on mass shell manifestly supersymmetric 4-point functions invariant with respect to linear supersymmetry transformations and corresponding (in gravitational bosonic sector) to terms constructed from four Riemann tensors and derivatives are found. Superspace representation for 4-point scattering amplitudes is also obtained. Superfield representation of linearized interaction vertex of superparticle and supergravity fields is presented. All 4-point higher derivative interaction vertices of ten-dimensional supersymmetric Yang-Mills theory are also determined.