Cartan Calculus On Hopf Superalgebra F(Ch2|1)
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.65, sa.3, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 65 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s10773-026-06272-x
- Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, MathSciNet, zbMATH
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
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 first-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 star-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.