Virasoro 3-algebra from scalar densities

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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5 pages

Scientific paper

It is shown that the ternary Virasoro-Witt algebra of Curtright, Fairlie and
Zachos can be constructed by applying the Nambu commutator to the vect(1)
realization on scalar densities. This construction is generalized to vect(d),
but the corresponding 3-algebra fails to close.

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