# Probing Quantization Via Branes

@inproceedings{Gaiotto2021ProbingQV, title={Probing Quantization Via Branes}, author={Davide Gaiotto and Edward Witten}, year={2021} }

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

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