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.

引用

页数：17

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