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arXiv · 1712.09540

Super Finsler Connection of Superparticle on Two Dimensional Curved Spacetime

Takayoshi Ootsuka·Muneyuki Ishida·Erico Tanaka·Ryoko Yahagi
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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.

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Takayoshi Ootsuka, Muneyuki Ishida, Erico Tanaka, Ryoko Yahagi. 2017-12-27. Super Finsler Connection of Superparticle on Two Dimensional Curved Spacetime. https://arxiv.org/abs/1712.09540

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