Algebra structure of conformal Killing-Yano forms in geometries with skew-symmetric torsion

ERTEM Ü., Kelekçi Ö., AÇIK Ö.

Classical and Quantum Gravity, cilt.42, sa.21, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 21
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1088/1361-6382/ae1097
  • Dergi Adı: Classical and Quantum Gravity
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: generalized geometry, hidden symmetries, torsion
  • Ankara Üniversitesi Adresli: Evet

Özet

We consider conformal Killing-Yano (CKY) forms corresponding to the antisymmetric generalizations of conformal Killing vectors to higher degree forms in the presence of skew-symmetric torsion. Integrability conditions for torsionful CKY forms are found and a graded Lie bracket for CKY forms to constitute a graded Lie algebra structure is proposed. It is found that a graded Lie algebra structure for a special subset of torsionful CKY forms can be constructed for a closed and parallel skew-symmetric torsion on constant curvature and Einstein manifolds. Similar structure for generalized hidden symmetries defined from generalized connection in generalized geometry is also constructed.