Super Finsler connection of superparticle on two-dimensional curved spacetime

被引：1
|
作者：
Ootsuka, Takayoshi [1 ,2 ]
Ishida, Muneyuki [3 ]
Tanaka, Erico [4 ]
Yahagi, Ryoko [5 ]
机构：
[1] Ochanomizu Univ, Dept Phys, Bunkyo Ku, 2-1-1 Otsuka, Tokyo 1128610, Japan
[2] NPO Gakujutsu Kenkyu Network, Tokyo, Japan
[3] Meisei Univ, Dept Phys, 2-1-1 Hodokubo, Hino, Tokyo 1918506, Japan
[4] Kagoshima Univ, Dept Math & Comp Sci, 1-21-35 Korimoto Kagoshima, Kagoshima 8908580, Japan
[5] Tokyo Univ Sci, Dept Phys, Fac Sci, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, Japan
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2019年 / 16卷 / 04期
基金：
日本学术振兴会;
关键词：
Finsler geometry; superparticle; nonlinear connection; pseudoparticle mechanics; auto-parallel equations; supermanifold; GEOMETRY;
D O I：
10.1142/S0219887819500555
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页数：17
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