Corpus ID: 236428231

# Probing Quantization Via Branes

@inproceedings{Gaiotto2021ProbingQV,
title={Probing Quantization Via Branes},
author={Davide Gaiotto and Edward Witten},
year={2021}
}
• Published 26 July 2021
• Physics, Mathematics
We re-examine quantization via branes with the goal of understanding its relation to geometric quantization. If a symplectic manifold $M$ can be quantized in geometric quantization using a polarization ${\mathcal P}$, and in brane quantization using a complexification $Y$, then the two quantizations agree if ${\mathcal P}$ can be analytically continued to a holomorphic polarization of $Y$. We also show, roughly, that the automorphism group of $M$ that is realized as a group of symmetries in… Expand
3 Citations

#### Figures from this paper

Koszul duality in quantum field theory
• Physics, Mathematics
• 2021
In this article, we introduce basic aspects of the algebraic notion of Koszul duality for a physics audience. We then review its appearance in the physical problem of coupling QFTs to topologicalExpand
Microsheaves from Hitchin fibers via Floer theory
Consider a smooth component of the moduli space of stable Higgs bundles on which the Hitchin fibration is proper. We record in this note the following corollaries to existing results on Floer theoryExpand
N ov 2 02 1 KOSZUL DUALITY IN QUANTUM FIELD THEORY
In this article, we introduce basic aspects of the algebraic notion of Koszul duality for a physics audience. We then review its appearance in the physical problem of coupling QFTs to topologicalExpand