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arXiv · hep-th/9310185

BPST instanton and Spin from inequivalent quantizations

David McMullan·Izumi Tsutsui
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Abstract

We present a simple alternative to Mackey's account of the (infinite) inequivalent quantizations possible on a coset space G/H. Our reformulation is based on the reduction ${\rm G \rightarrow G/H}$ and employs a generalized form of Dirac's approach to the quantization of constrained systems. When applied to the four-sphere $S^4 \simeq {\rm Spin(5)/Spin(4)}$, the inequivalent quantizations induce relativistic spin and a background BPST instanton; thus they might provide a natural account of both of these physical entities.

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David McMullan, Izumi Tsutsui. 1993-11-02. BPST instanton and Spin from inequivalent quantizations. https://doi.org/10.1016/0370-2693(94)90658-0

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