The Jacobi identity for graded-commutative variational Schouten bracket revisited
Kiselev, Arthemy V.
Mathematical Physics
High Energy Physics - Theory
Differential Geometry
Exactly Solvable and Integrable Systems
17B65, 70S05, 81S10, also 17B81, 53Z05
Original · EN
This short note contains an explicit proof of the Jacobi identity for variational Schouten bracket in Z₂-graded commutative setup. For the reasoning to be rigorous, it refers to the product bundle geometry of iterated variations (see arXiv:1312.1262 [math-ph]); no ad hoc regularizations occur anywhere in this theory.
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