A cellular topological field theory
Algebraic Topology
2020-03-11 v2 High Energy Physics - Theory
Mathematical Physics
Geometric Topology
math.MP
Quantum Algebra
Abstract
We present a construction of cellular BF theory (in both abelian and non-abelian variants) on cobordisms equipped with cellular decompositions. Partition functions of this theory are invariant under subdivisions, satisfy a version of the quantum master equation, and satisfy Atiyah-Segal-type gluing formula with respect to composition of cobordisms.
Keywords
Cite
@article{arxiv.1701.05874,
title = {A cellular topological field theory},
author = {Alberto S. Cattaneo and Pavel Mnev and Nicolai Reshetikhin},
journal= {arXiv preprint arXiv:1701.05874},
year = {2020}
}
Comments
Ver. 2: numerous expository improvements