4 papers · 1 filter
Dualities and Categorical Structures from 2D Up
Veronica Pasquarella
A fundamental step towards studying string theory vacua, and, ultimately, their stability, is that of understanding the underlying mathematical structure of the QFT resulting from…
Particle Physics: a crash course for Mathematicians
Veronica Pasquarella
This introductory work combines bottom-up and top-down approaches towards understanding the underlying categorical structure of possible unifying theories descending from string th…
Factorisation Homology for Class Theories
Veronica Pasquarella
Based on recent advancements in algebraic geometry, algebraic topology, and higher-categorical structures, we show how ground state degeneracies in closed stratified manifolds can…
Moore-Tachikawa Varieties: Beyond Duality
Veronica Pasquarella
We propose a generalisation of the Moore-Tachikawa varieties for the case in which the target category of the 2D TFT is a hyperkhler quotient. The setup requires g…