On Quantum Obstruction Spaces and Higher Codimension Gauge Theories
arXiv:2008.08477 · doi:10.1016/j.physletb.2021.136155
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.
18 pages, 4 figures, revised version for publication, typos fixed, to appear in Phys. Lett. B