Towards holography in the BV-BFV setting
Mathematical Physics
2019-10-30 v2 High Energy Physics - Theory
math.MP
Abstract
We show how the BV-BFV formalism provides natural solutions to descent equations, and discuss how it relates to the emergence of holographic counterparts of given gauge theories. Furthermore, by means of an AKSZ-type construction we reproduce the Chern-Simons to Wess-Zumino-Witten correspondence from infinitesimal local data, and show an analogous correspondence for BF theory. We discuss how holographic correspondences relate to choices of polarisation relevant for quantisation, proposing a semi-classical interpretation of the quantum holographic principle.
Cite
@article{arxiv.1905.00952,
title = {Towards holography in the BV-BFV setting},
author = {Pavel Mnev and Michele Schiavina and Konstantin Wernli},
journal= {arXiv preprint arXiv:1905.00952},
year = {2019}
}
Comments
42 pages, Accepted manuscript. A comment on the Poisson Sigma model was added. Few stylistic improvements