Ectoplasm Has No Topology

TL;DR

This paper proposes a novel approach to supermanifold integration based on the Ethereal Conjecture, emphasizing the topology generated from the bosonic submanifold, simplifying density projection derivations in supergravity.

Contribution

It introduces the concept of ectoplasmic integration rooted in the Ethereal Conjecture, providing a new perspective on supermanifold topology and supergravity calculations.

Findings

Ectoplasmic integration simplifies supergravity density projections.

The Ethereal Conjecture links supermanifold topology to its bosonic submanifold.

New theoretical framework for supermanifold integration.

Abstract

In a new approach to the theory of integration over Wess-Zumino supermanifolds, we suggest that a fundamental principle is their consistency with an ``Ethereal Conjecture'' that asserts the topology of the supermanifold must be generated essentially from its bosonic submanifold. This naturally leads to a theory of ``ectoplasmic'' integration based on super p-forms. One consequence of this approach is that the derivation of ``density projection operators'' becomes trivial in a number of supergravity theories.