On Quantum Obstruction Spaces and Higher Codimension Gauge Theories
Mathematical Physics
2021-02-26 v3 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
Using the quantum construction of the BV-BFV method for perturbative gauge theories, we show that the obstruction for quantizing a codimension 1 theory is given by the second cohomology group with respect to the boundary BRST charge. Moreover, we give an idea for the algebraic construction of codimension quantizations in terms of -algebras and higher shifted Poisson structures by formulating a higher version of the quantum master equation.
Cite
@article{arxiv.2008.08477,
title = {On Quantum Obstruction Spaces and Higher Codimension Gauge Theories},
author = {Nima Moshayedi},
journal= {arXiv preprint arXiv:2008.08477},
year = {2021}
}
Comments
18 pages, 4 figures, revised version for publication, typos fixed, to appear in Phys. Lett. B