Abelian BF theory and Turaev-Viro invariant
Mathematical Physics
2017-06-07 v2 High Energy Physics - Theory
math.MP
Abstract
The U(1) BF Quantum Field Theory is revisited in the light of Deligne-Beilinson Cohomology. We show how the U(1) Chern-Simons partition function is related to the BF one and how the latter on its turn coincides with an abelian Turaev-Viro invariant. Significant differences compared to the non-abelian case are highlighted.
Keywords
Cite
@article{arxiv.1509.04236,
title = {Abelian BF theory and Turaev-Viro invariant},
author = {P. Mathieu and F. Thuillier},
journal= {arXiv preprint arXiv:1509.04236},
year = {2017}
}
Comments
47 pages and 6 figures