A Master Action for D=11 Supergravity in the Component Formulation

TL;DR

This paper constructs an explicit solution to the classical master equation for D=11 supergravity in component form, detailing the symmetry algebra and including terms proportional to equations of motion.

Contribution

It provides the first explicit component formulation of the master action for D=11 supergravity, advancing the understanding of its symmetry structure.

Findings

Explicit master action constructed in component form

Detailed analysis of symmetry algebra including equations of motion

Order-by-order construction method demonstrated

Abstract

We give a solution to the classical master equation of D=11 supergravity in the conventional component formulation. Based on a careful investigation of the symmetry algebra including terms proportional to the equation of motion, we construct an explicit expression of the master action in an order-by-order manner.