Classical and quantal ternary algebras

Thomas Curtright, David Fairlie, Xiang Jin, Luca Mezincescu, Cosmas Zachos

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


We consider several ternary algebras relevant to physics. We compare and contrast the quantal versions of the algebras, as realized through associative products of operators, with their classical counterparts, as realized through classical Nambu brackets. In some cases involving infinite algebras, we show the classical limit may be obtained by a contraction of the quantal algebra, and then explicitly realized through classical brackets. We illustrate this classical-contraction method by the Virasoro-Witt example.

Original languageEnglish (US)
Pages (from-to)387-392
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number3-4
StatePublished - May 18 2009
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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