Notes on simplicial BF theory
High Energy Physics - Theory
2007-05-23 v3 Algebraic Topology
Quantum Algebra
Abstract
In this work we discuss the construction of "simplicial BF theory", the field theory with finite-dimensional space of fields, associated to a triangulated manifold, that is in a sense equivalent to topological BF theory on the manifold (with infinite-dimensional space of fields). This is done in framework of simplicial program - program of constructing discrete topological field theories. We also discuss the relation of these constructions to homotopy algebra.
Cite
@article{arxiv.hep-th/0610326,
title = {Notes on simplicial BF theory},
author = {Pavel Mnev},
journal= {arXiv preprint arXiv:hep-th/0610326},
year = {2007}
}