Supersymmetry and Representation Theory in Low Dimensions
Mathematical Physics
2020-12-18 v1 High Energy Physics - Theory
Combinatorics
Group Theory
math.MP
Representation Theory
Abstract
Beginning from a discussion of the known most fundamental dynamical structures of the Standard Model of physics, extended into the realms of mathematics and theory by the concept of "supersymmetry" or "SUSY," an introduction to efforts to develop a complete representation theory is given. Techniques drawing from graph theory, coding theory, Coxeter Groups, Riemann surfaces, and computational approaches to the study of algebraic varieties are briefly highlighted as pathways for future exploration and progress.
Cite
@article{arxiv.2012.09211,
title = {Supersymmetry and Representation Theory in Low Dimensions},
author = {Mathew Calkins and S. James Gates and Caroline Klivans},
journal= {arXiv preprint arXiv:2012.09211},
year = {2020}
}