Realization of the Infinite-Dimensional 3-Algebras in the Calogero—Moser Model

Realization of the Infinite-Dimensional 3-Algebras in the Calogero—Moser Model

We investigate realization of the infinite-dimensional 3-algebras in the classical Calogero-Moser model. In terms of the Lax matrix of the Calogero-Moser model and the Nambu 3-brackets in which the variables are the coordinates qi, and canonically conjugate momenta pi and the coupling parameter [bet...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Chinese physics letters 2015-04, Vol.32 (4), p.40202-1-040202-4
Hauptverfasser: Yang, Yan-Xin, Yao, Shao-Kui, Zhang, Chun-Hong, Zhao, Wei-Zhong
Format: Artikel
Sprache:eng
Schlagworte:
Conjugates
Coupling
Mathematical models
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We investigate realization of the infinite-dimensional 3-algebras in the classical Calogero-Moser model. In terms of the Lax matrix of the Calogero-Moser model and the Nambu 3-brackets in which the variables are the coordinates qi, and canonically conjugate momenta pi and the coupling parameter [beta] are an extra auxiliary phase-space parameter, we present the realization of the Virasoro-Witt, w[infinity] and SDi [functionof][functionof](T super(2)) 3-algebras, respectively.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/32/4/040202