M-Theory on a Supermanifold

TL;DR

This paper proposes a conjectured finite M-theory formulated in a superspace with non-anticommutative operators, capable of producing realistic four-dimensional cosmological models with dark energy and matter, and discusses its potential to include the standard model.

Contribution

It introduces a novel formulation of M-theory using a superspace <>-product, incorporating supermembranes and addressing cosmological and particle physics implications.

Findings

Derives a de Sitter inflationary solution compatible with cosmological data.

Obtains dark matter and dark energy descriptions from matter fields and four-form F-fields.

Discusses the emergence of chiral fermions and standard model features from the theory.

Abstract

A conjectured finite M-theory based on eleven-dimensional supergravity formulated in a superspace with a non-anticommutative <>-product of field operators is proposed. Supermembranes are incorporated in the superspace <>-product formalism. When the deformed supersymmetry invariant action of eleven-dimensional supergravity theory is expanded about the standard supersymmetry invariant action, the spontaneously compactified M-theory can yield a four-dimensional de Sitter spacetime inflationary solution with dark energy described by the four-form F-fields. A fit to the present cosmological data for an accelerating universe is obtained from matter fields describing the dominant dark matter and the four-form F-field dark energy. Chiral fermions are obtained from the M-theory by allowing singularities in the compact internal seven-dimensional space. The possibility of obtaining a realistic M-theory containing the standard model is discussed.