English

Chern-Simons foam

High Energy Physics - Theory 2008-11-03 v2

Abstract

Chern-Simons theory can be defined on a cell complex, such as a network of bubbles, which is not a (Hausdorff) manifold. Requiring gauge invariance determines the action, including interaction terms at the intersections, and imposes a relation between the coupling constants of the CS terms on adjacent cell walls. We also find simple conservation laws for charges at the intersections.

Keywords

Cite

@article{arxiv.0810.3041,
  title  = {Chern-Simons foam},
  author = {Steven Willison and Jorge Zanelli},
  journal= {arXiv preprint arXiv:0810.3041},
  year   = {2008}
}

Comments

22 pages, 3 figures, version 2: acknowledgement added, minor typos corrected

R2 v1 2026-06-21T11:31:46.330Z