Explicit bracket in the exceptional simple Lie superalgebra cvect(0|3)_*

Details Explicit bracket in the exceptional simple Lie superalgebra cvect(0|3)_* Explicit bracket in the exceptional simple Lie superalgebra cvect(0|3)_*

1997-03-18

arxiv.org/abs/physics/9703022v1

Physics

Mathematical Physics

15 pages, Latex twice, no pictures

Scientific paper

This note is devoted to a more detailed description of one of the five simple exceptional Lie superalgebras of vector fields, cvect(0|3)_*, a subalgebra of vect(4|3). We derive differential equations for its elements, and solve these equations. Hence we get an exact form for the elements of cvect(0|3)_*. Moreover we realize cvect(0|3)_* by "glued" pairs of generating functions on a (3|3)-dimensional periplectic (odd symplectic) supermanifold and describe the bracket explicitly.

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