Charles Explorer logo
🇬🇧

Commuting symmetry operators of the Dirac equation, Killing-Yano and Schouten-Nijenhuis brackets

Publication at Faculty of Mathematics and Physics |
2011

Abstract

The most general first-order symmetry operator commuting with the Dirac operator in all dimensions and signatures is derived. Such an operator splits into Clifford even and Clifford odd parts which are given in terms of odd Killing-Yano and even closed conformal Killing-Yano inhomogeneous forms, respectively.