Spin Foam State Sums and Chern-Simons Theory
High Energy Physics - Theory
2010-02-03 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We review the spin foam state-sum invariants of 3-manifolds, and explain their relationship to manifold invariants coming from the Chern-Simons theory. We also explain the relationship between the known invariants of spin networks by using the Chain-Mail formalism of J. Roberts. This formalism can be understood as a quantum-group regularization of the BF theory path integrals.
Cite
@article{arxiv.1002.0500,
title = {Spin Foam State Sums and Chern-Simons Theory},
author = {Aleksandar Mikovic and Joao Faria Martins},
journal= {arXiv preprint arXiv:1002.0500},
year = {2010}
}
Comments
8 pages. Talk presented by A. Mikovic at "Chern-Simons Gauge Theory: Twenty years after" conference, Bonn, 3-7 August 2009