# Bosonic D=11 supergravity from a generalized Chern-Simons action

## TL;DR

This paper demonstrates that the bosonic sector of D=11 supergravity can be derived from a generalized Chern-Simons action involving gauge fields and forms, providing a new algebraic formulation of the theory.

## Contribution

It introduces a novel approach to derive D=11 supergravity from a generalized Chern-Simons action using sp(32) gauge fields and forms, linking supergravity to gauge theory structures.

## Key findings

- Derivation of bosonic D=11 supergravity from Chern-Simons action.
- Identification of gauge fields corresponding to supergravity auxiliary functions.
- Establishment of a connection between supergravity and gauge algebra structures.

## Abstract

It is shown that the action of the bosonic sector of D=11 supergravity may be obtained by means of a suitable scaling of the originally dimensionless fields of a generalized Chern-Simons action. This follows from the eleven-form CS-potential of the most general linear combination of closed, gauge invariant twelve-forms involving the sp(32)-valued two-form curvatures supplemented by a three-form field. In this construction, the role of the skewsymmetric four-index auxiliary function needed for the first order formulation of $D=11$ supergravity is played by the gauge field associated with the five Lorentz indices generator of the bosonic sp(32) subalgebra of osp(1|32).