Symmetries of modified Dirac operators in supergravity flux backgrounds

Modifications of Dirac operators in supergravity flux backgrounds are considered. Modified spin curvature operators and squares of modified Dirac operators corresponding to Schrödinger-Lichnerowicz-like formulas are obtained for different types of flux modifications. Symmetry operators of modified m...

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Main Author: Ümit Ertem
Format: Article
Language:English
Published: Elsevier 2024-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321324002311
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author Ümit Ertem
author_facet Ümit Ertem
author_sort Ümit Ertem
collection DOAJ
description Modifications of Dirac operators in supergravity flux backgrounds are considered. Modified spin curvature operators and squares of modified Dirac operators corresponding to Schrödinger-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.
format Article
id doaj-art-300a07f89c224af2b33e452dad1c97be
institution OA Journals
issn 0550-3213
language English
publishDate 2024-10-01
publisher Elsevier
record_format Article
series Nuclear Physics B
spelling doaj-art-300a07f89c224af2b33e452dad1c97be2025-08-20T01:55:21ZengElsevierNuclear Physics B0550-32132024-10-01100711666510.1016/j.nuclphysb.2024.116665Symmetries of modified Dirac operators in supergravity flux backgroundsÜmit Ertem0Diyanet İşleri Başkanlığı, Astronomy Unit, Üniversiteler Mah., Dumlupınar Bul. No:147/H, 06800 Çankaya, Ankara, TurkeyModifications of Dirac operators in supergravity flux backgrounds are considered. Modified spin curvature operators and squares of modified Dirac operators corresponding to Schrödinger-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.http://www.sciencedirect.com/science/article/pii/S0550321324002311
spellingShingle Ümit Ertem
Symmetries of modified Dirac operators in supergravity flux backgrounds
Nuclear Physics B
title Symmetries of modified Dirac operators in supergravity flux backgrounds
title_full Symmetries of modified Dirac operators in supergravity flux backgrounds
title_fullStr Symmetries of modified Dirac operators in supergravity flux backgrounds
title_full_unstemmed Symmetries of modified Dirac operators in supergravity flux backgrounds
title_short Symmetries of modified Dirac operators in supergravity flux backgrounds
title_sort symmetries of modified dirac operators in supergravity flux backgrounds
url http://www.sciencedirect.com/science/article/pii/S0550321324002311
work_keys_str_mv AT umitertem symmetriesofmodifieddiracoperatorsinsupergravityfluxbackgrounds