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A Calogero-Sutherland model based on the aperiodic Virasoro algebra

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JournalInternational Journal of Modern Physics A
DatePublished - 20 Oct 2000
Issue number26
Number of pages11
Pages (from-to)4179-4189
Original languageEnglish


We derive a new model of Calogero-Sutherland type based on the aperiodic Virasoro algebra, which is an aperiodic analog of the Virasoro algebra with generators in a one-to-one correspondence with an aperiodic point set. It is shown that the Hamiltonian obtained in this setting contains an additional term with respect to the corresponding model based on the Virasoro algebra, and may thus be considered as a perturbation of the latter. The solvability of the model follows from the results about the highest weight representations of the aperiodic Virasoro algebra. The additional term in the Hamiltonian is shown to depend on a parameter, which is given in terms of model specific data such as a representation number, and a set of operators which appear as a consequence of the aperiodic setting in the framework of oscillator representations.

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