Super Finsler connection of superparticle on two-dimensional curved spacetime

DOI10.1142/S0219887819500555zbMath1422.53078arXiv1712.09540OpenAlexW2963471304WikidataQ125914799 ScholiaQ125914799MaRDI QIDQ5232411

Takayoshi Ootsuka, Muneyuki Ishida, Erico Tanaka, Ryoko Yahagi

Publication date: 3 September 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09540

zbMATH Keywords

supermanifoldFinsler geometrysuperparticlenonlinear connectionauto-parallel equationspseudoparticle mechanics

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05) Supermanifolds and graded manifolds (58A50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Equations of motion in general relativity and gravitational theory (83C10) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (1)

Generalized Mathisson–Papapetrou–Tulczyjew–Dixon equations

Cites Work

• Finsler geometry without line elements faced to applications.
• Twistor-like transform in ten dimensions
• Riemannian geometry in spaces with Grassmann coordinates
• The point Finsler spaces and their physical applications in electron optics and thermodynamics
• The geometry of higher-order Lagrange spaces. Applications to mechanics and physics
• Finsler connection for general Lagrangian systems
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