English

The Jacobi identity for graded-commutative variational Schouten bracket revisited

Mathematical Physics 2014-12-30 v1 High Energy Physics - Theory Differential Geometry math.MP Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.1312.4140,
  title  = {The Jacobi identity for graded-commutative variational Schouten bracket revisited},
  author = {Arthemy V. Kiselev},
  journal= {arXiv preprint arXiv:1312.4140},
  year   = {2014}
}

Comments

Addendum to arXiv:1312.1262 [math-ph] (proof of Theorem 4.iii) by the same author; 4+iii pages. - Proc. Int. Workshop SQS'13 `Supersymmetry and Quantum Symmetries' (July 29 -- August 3, 2013; JINR Dubna, Russia)