English

2-connections, a lattice point of view

High Energy Physics - Theory 2018-12-05 v2 Mathematical Physics Category Theory math.MP

Abstract

We show that the transition laws for a 2-connection can be recovered by discretizing the base 2-space of a 2-bundle into an Euclidean hypercubic lattice. The aim of this work is to serve as an example of how important results in higher gauge theory, which have been derived in a continuous setting, can also be derived in the lattice scheme.

Keywords

Cite

@article{arxiv.1803.00529,
  title  = {2-connections, a lattice point of view},
  author = {B Bouzid and M Tahiri},
  journal= {arXiv preprint arXiv:1803.00529},
  year   = {2018}
}