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arXiv · 1905.00952

Towards holography in the BV-BFV setting

Pavel Mnev·Michele Schiavina·Konstantin Wernli
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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.

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Pavel Mnev, Michele Schiavina, Konstantin Wernli. 2019-05-02. Towards holography in the BV-BFV setting. https://doi.org/10.1007/s00023-019-00862-8

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