Spinor bilinears and Killing-Yano forms in generalized geometry
High Energy Physics - Theory
2025-12-29 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
Spinor bilinears of generalized spinors and their properties are investigated. Generalized Killing and twistor spinor equations are considered and their relations to the equations satisfied by special types of differential forms are found. Killing equation in generalized geometry is written in terms of the generalized covariant derivative and Killing-Yano forms are described in the framework of generalized geometry. Construction of generalized Killing-Yano forms and generalized closed conformal Killing-Yano forms in terms of the spinor bilinears of generalized Killing spinors are determined.
Cite
@article{arxiv.2411.00443,
title = {Spinor bilinears and Killing-Yano forms in generalized geometry},
author = {Özgür Açık and Ümit Ertem and Özgür Kelekçi},
journal= {arXiv preprint arXiv:2411.00443},
year = {2025}
}
Comments
16 pages