A Note on Coherent States for Virasoro Orbits
A Note on Coherent States for Virasoro Orbits
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关于 Virasoro 轨道相干态的注记
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
V. Nair
中科院分区：
文献类型：
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作者：
V. Nair
Virasoro群有两组轨道，它们具有Kahler结构。我们考虑在这些轨道上的相干态的建设，提供酉群表示。这个过程等价于使用全纯偏振的几何量子化。我们探讨了这些状态的一些性质，包括相应的运营商和他们的星星产品的符号的定义。本文还简要讨论了将这种方法应用于2+1维引力的可能性。
There are two sets of orbits of the Virasoro group which admit a Kahler structure. We consider the construction of coherent states on these orbits which furnish unitary representations of the group. The procedure is equivalent to geometric quantization using a holomorphic polarization. We explore some of the properties of these states, including the definition of symbols corresponding to operators and their star products. The possibility of applying this to gravity in 2+1 dimensions is also briefly discussed.