3 papers
hep-th2025
Modular Classes and Supersymmetric Berezin Volumes
Andrew James Bruce
We argue that modular classes of Q-manifolds provide an efficient method for addressing the existence of supersymmetric Berezin volumes in the supergeometric representation theory…
math.DG2025
A First Look at Supersymmetry
Andrew James Bruce
These are expanded notes for a short series of lectures, presented at the University of Luxembourg in 2017, giving an introduction to some of the ideas of supersymmetry and superge…
math-ph2024
A Novel Generalisation of Supersymmetry: Quantum -Oscillators and their `superisation'
Andrew James Bruce
We propose a very simple toy model of a -supersymmetric quantum system and show, via Klein's construction, how to understand the system as being an supersymme…