On the spin geometry of supergravity and string theory

TL;DR

This paper reviews recent work on the mathematical structure of Clifford modules and explores their applications in string theory and supergravity, highlighting the interplay between geometry and theoretical physics.

Contribution

It introduces new insights into the spin geometry of supergravity and string theory through the study of Clifford modules.

Findings

Clarified the role of Clifford bundles in supergravity

Connected spin geometry to string theory frameworks

Provided mathematical tools for future theoretical physics research

Abstract

We summarize the main results of our recent investigation of bundles of real Clifford modules and briefly touch on some applications to string theory and supergravity.