Wilson Surfaces for Surface Knots
High Energy Physics - Theory
2019-03-11 v1 Mathematical Physics
math.MP
Abstract
Holonomy invariants in strict higher gauge theory have been studied in depth, aiming to applications to higher Chern-Simons theory. For a flat 2-connection, the holonomy of surface knots of arbitrary genus has been defined and its covariance properties under 1-gauge transformation and change of base data have been determined. Using quandle theory, a definition of trace over a crossed module has been given that yields surface knot invariants upon application to 2-holonomies.
Cite
@article{arxiv.1903.02853,
title = {Wilson Surfaces for Surface Knots},
author = {Roberto Zucchini},
journal= {arXiv preprint arXiv:1903.02853},
year = {2019}
}
Comments
15 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018