Time: 22. June 2019
Place: XIII. International Workshop: Lie theory and its applications in physics, Varna, Bulgaria
Title: 3-categories, 3-groups, and unification of gravity and matter
We will give a step-by-step overview of the gauge theory construction based on a notion of a 3-group. After we introduce 3-groups in general, we will focus on the relevant example of a 3-group which describes the Standard Model and Einstein-Cartan gravity at the classical level. The 3-group structure features a novel gauge group, intimately connected to the fermion and scalar sectors of the Standard Model. This structure could potentially provide a new insight into the matter sector of the theory, and open new avenues for research on unification of all interactions and matter. Based on arXiv:1904.07566.