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We analyze the Casalbuoni–Brink–Schwarz superparticle model on a 2-dimensional curved spacetime as a super Finsler metric defined on a (2,2)-dimensional supermanifold. We propose a nonlinear Finsler connection which preserves this… Click to show full abstract
We analyze the Casalbuoni–Brink–Schwarz superparticle model on a 2-dimensional curved spacetime as a super Finsler metric defined on a (2,2)-dimensional supermanifold. We propose a nonlinear Finsler connection which preserves this Finsler metric and calculates it explicitly. The equations of motion of the superparticle are reconstructed in the form of auto-parallel equations expressed by the super nonlinear connection.
Keywords:
finsler;
dimensional curved;
superparticle;
curved spacetime;
connection;
super finsler
Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019
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Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!