Symmetries of modified Dirac operators in supergravity flux backgrounds
High Energy Physics - Theory
2024-09-16 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
Modifications of Dirac operators in supergravity flux backgrounds are considered. Modified spin curvature operators and squares of modified Dirac operators corresponding to Schr\"odinger-Lichnerowicz-like formulas are obtained for different types of flux modifications. Symmetry operators of modified massless and massive Dirac equations are found in terms of modified Killing-Yano and modified conformal Killing-Yano forms. Extra constraints for symmetry operators in terms of different types of fluxes and modified Killing-Yano forms are determined.
Keywords
Cite
@article{arxiv.2312.14509,
title = {Symmetries of modified Dirac operators in supergravity flux backgrounds},
author = {Ümit Ertem},
journal= {arXiv preprint arXiv:2312.14509},
year = {2024}
}
Comments
21 pages, published version