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- W2907284865 abstract "We present a relationship between the Calogero-Moser particles confined in harmonic oscillator potentials and a representation theory of the infinite dimensional Lie algebra which is a semi-direct sum of Virasoro algebra and its module. More precisely, it is a correspondence of excited states of the model and singular vectors in Verma modules over the algebra. This is found by a free field realization of the time evolution operator of the model. We investigate the Verma modules and some explicit example of singular vectors are given." @default.
- W2907284865 created "2019-01-11" @default.
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- W2907284865 date "2018-12-27" @default.
- W2907284865 modified "2023-09-24" @default.
- W2907284865 title "Conformal mechanical treatment of Calogero-Moser model and infinite dimensional Lie algebra of conformal Galilei type" @default.
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- W2907284865 doi "https://doi.org/10.48550/arxiv.1812.10662" @default.
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