Symmetries of modified Dirac operators in supergravity flux backgrounds

Ümit Ertem

doi:10.1016/j.nuclphysb.2024.116665

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arXiv · 2312.14509

Symmetries of modified Dirac operators in supergravity flux backgrounds

Ümit Ertem

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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.

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Ümit Ertem. 2023-12-22. Symmetries of modified Dirac operators in supergravity flux backgrounds. https://doi.org/10.1016/j.nuclphysb.2024.116665

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