Modeling M-Theory Vacua via Gauged S-Duality

TL;DR

This paper develops a novel model of M-theory vacua using gauged S-duality and string symmetries, linking space-time dimensions and gauge groups to underlying symmetries and their breakdown.

Contribution

It introduces a new framework combining gauged S-duality, Chan-Paton symmetries, and derived category formulation to model M-theory vacua with gravity.

Findings

Derived category formulation of quantum world including gravity

Definition of cosmic time via string probes

Modeling of space-time dimensionality from symmetries

Abstract

We construct a model of M-theory vacua using gauged S-duality and the Chan-Paton symmetries by introducing an infinite number of open string charges. In the Bechi-Rouet-Stora-Tyutin formalism, the local description of the gauged S-duality on its moduli space of vacua is fully determined by one physical state condition on the vacua. We introduce the string probe of the spatial degrees of freedom and define the increment of the cosmic time. The dimensionality of space-time and the gauge group of the low energy effective theory originate in the symmetries (with or without their breakdown) in our model. This modeling leads to the derived category formulation of the quantum mechanical world including gravity and to the concept of a non-linear potential of gauged and affinized S-duality which specifies the morphism structure of this derived category.