Geometric Quantization on a Coset Space G/H

Details Geometric Quantization on a Coset Space G/H Geometric Quantization on a Coset Space G/H

1996-10-08

arxiv.org/abs/hep-th/9610047v1

Prog.Theor.Phys. 99 (1998) 467-476

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LateX2e

Scientific paper

10.1143/PTP.99.467

Geometric quantization on a coset space $G/H$ is considered, intending to recover Mackey's inequivalent quantizations. It is found that the inequivalent quantizations can be obtained by adopting the symplectic 2-form which leads to Wong's equation. The irreducible representations of $H$ which label the inequivalent quantizations arise from Weil's theorem, which ensures a Hermitian bundle over $G/H$ to exist.

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