2009/03/31 by Thomas Curtright, David Fairlie, Xiang Jin +2 · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.physletb.2009.04.019
published as Phys.Lett.B675:387-392, 2009 · Additional references
arxiv created 2009/05/25 · arxiv updated 2009/12/01
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.