Super Finsler connection of superparticle on two-dimensional curved spacetime
Super Finsler connection of superparticle on two-dimensional curved spacetime
复制标题
二维弯曲时空中超粒子的超芬斯勒连接
DOI：
10.1142/s0219887819500555
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发表时间：
2019
影响因子：
1.8
通讯作者：
Yahagi Ryoko
中科院分区：
文献类型：
--
作者：
Ootsuka Takayoshi;Ishida Muneyuki;Tanaka Erico;Yahagi Ryoko
我们将二维弯曲时空上的Casalbuoni-Brink-Schwarz超粒子模型分析为定义在(2，2)维超流形上的超Finsler度规。我们提出了一种保持这种Finsler度规的非线性Finsler联络，并显式地计算了它。超粒子的运动方程被重建为超非线性连接所表示的自平行方程的形式。
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.