The Metaplectic Representation, $Mp^c$ Structures and Geometric Quantization

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· American Mathematical Soc.
Ebook
92
Pages
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About this ebook

We present an account of the metaplectic representation in terms of the Bargmann-Segal model rather than the standard Schrödinger model; this allows us to describe explicitly the structure and pairing of vacuum states for positive polarizations. We develop a scheme for geometric spinors and, following Hess, using Mp[superscript italic]c structures in place of metaplectic structures.

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