A note on gluing via fiber products in the (classical) BV-BFV formalism
Mathematical Physics
2023-08-21 v1 math.MP
Quantum Algebra
Abstract
In classical field theory, gluing spacetime manifolds along boundary corresponds to taking a fiber product of the corresponding spaces of fields (as differential graded Fr\'echet manifolds) up to homotopy. We construct this homotopy explicitly in several examples in the setting of BV-BFV formalism (Batalin--Vilkovisky formalism with cutting--gluing).
Keywords
Cite
@article{arxiv.2208.11211,
title = {A note on gluing via fiber products in the (classical) BV-BFV formalism},
author = {Alberto S. Cattaneo and Pavel Mnev},
journal= {arXiv preprint arXiv:2208.11211},
year = {2023}
}