Surface Observables, $2$-Knot Invariants, and Nonabelian Electric Fluxes
High Energy Physics - Theory
2025-12-01 v2 Mathematical Physics
Geometric Topology
math.MP
Abstract
This work introduces a surface observable for nonabelian four-dimensional theory with a cosmological term. The surface observable yields new -knot invariants that may extend beyond known examples such as the Alexander invariant. By BV pushforward, the surface observable induces an electric observable in nonabelian Yang-Mills theory, offering a concrete realization of 't~Hooft operators. An application to self-dual Yang-Mills theory is also discussed.
Keywords
Cite
@article{arxiv.2511.13623,
title = {Surface Observables, $2$-Knot Invariants, and Nonabelian Electric Fluxes},
author = {Alberto S. Cattaneo},
journal= {arXiv preprint arXiv:2511.13623},
year = {2025}
}
Comments
39 pages, 10 figures. Minor corrections, added references