Geometric Symmetries and Topological Terms in F-theory and Field Theory

TL;DR

This thesis explores the topological and arithmetic structures in quantum field theory and string theory, focusing on F-theory compactifications and supergravity truncations to understand their geometric symmetries and topological features.

Contribution

It provides new insights into the geometric symmetries and topological terms in F-theory and related field theories, emphasizing their arithmetic structures.

Findings

Identification of geometric symmetries in F-theory compactifications

Analysis of topological terms in supergravity truncations

Insights into arithmetic structures underlying string compactifications

Abstract

In this thesis we investigate topological aspects and arithmetic structures in quantum field theory and string theory. Particular focus is put on consistent truncations of supergravity and compactifications of F-theory.