Cartan Calculus On Hopf Superalgebra F(Ch2,1)


Çelik S., Çelik S.

International Journal of Theoretical Physics , cilt.65, sa.3, ss.1-23, 2026 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 65 Sayı: 3
  • Basım Tarihi: 2026
  • Dergi Adı: International Journal of Theoretical Physics
  • Derginin Tarandığı İndeksler: Scopus, PubMed
  • Sayfa Sayıları: ss.1-23
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Abstract In this paper, we introduce a new h-deformation of the superspace C2|1 and show that the corresponding function superalgebra F(Ch2|1) admits a Hopf superalgebra structure. Covariant f irst-order differential calculus on F(Ch2|1) is constructed by extending Woronowicz’s and Wess-Zumino’s approaches to the Z2-graded case. We also define a compatible-structure and establish the higher-order differential calculus, inner derivations, and Lie derivatives to formulate a full Cartan calculus on F(Ch2|1). The resulting differential geometry provides a consistent framework for studying quantum Lie superalgebras and graded covariant structures on noncommutative superspaces.