The Jacobi identity for graded-commutative variational Schouten bracket revisited

preprint2013arXivOpen access

Abstract

This short note contains an explicit proof of the Jacobi identity for variational Schouten bracket in Z2Z_2-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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