Symmetries of modified Dirac operators in supergravity flux backgrounds

Ertem Ü.

NUCLEAR PHYSICS B, vol.1007, 2024 (SCI-Expanded, Scopus) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 1007
  • Publication Date: 2024
  • Doi Number: 10.1016/j.nuclphysb.2024.116665
  • Journal Name: NUCLEAR PHYSICS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara University Affiliated: No

Abstract

Modifications of Dirac operators in supergravity flux backgrounds are considered. Modified spin curvature operators and squares of modified Dirac operators corresponding to Schr & ouml;dingerLichnerowicz-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 KillingYano 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.