Supergravity and IOSp(3,1|4) gauge theory

TL;DR

This paper introduces a novel formulation of D=4 supergravity using the geometry of superspace derived from the gauge theory of IOSp(3,1|4), connecting it to super Poincaré symmetry.

Contribution

It presents a new superspace geometric formulation of supergravity based on the gauge theory of IOSp(3,1|4) with physically motivated constraints and limits.

Findings

Derived supergravity formulation from IOSp(3,1|4) gauge theory.

Established connection between IOSp(3,1|4) and super Poincaré group.

Provided a geometric perspective similar to Newtonian gravity.

Abstract

A new formulation of simple D=4 supergravity in terms of the geometry of superspace is presented. The formulation is derived from the gauge theory of the inhomogeneous orthosymplectic group IOSp(3,1|4) on a (4,4)-dimensional base supermanifold by imposing constraints and taking a limit. Both the constraints and the limiting procedure have a clear {\it a priori} physical motivation, arising from the relationship between IOSp(3,1|4) and the super Poincar\'{e} group. The construction has similarities with the space-time formulation of Newtonian gravity.