Super Finsler connection of superparticle on two-dimensional curved spacetime-Reference-Cited by-同舟云学术

Super Finsler connection of superparticle on two-dimensional curved spacetime

Published:2019-04 Issue:04 Volume:16 Page:1950055
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Ootsuka Takayoshi¹²,Ishida Muneyuki³,Tanaka Erico⁴,Yahagi Ryoko⁵^ORCID

Affiliation:

1. Department of Physics, Ochanomizu University, 2-1-1 Otsuka Bunkyo-ku, Tokyo, 112-8610, Japan

2. NPO Gakujutsu-Kenkyu Network, Tokyo, Japan

3. Department of Physics, Meisei University, 2-1-1 Hodokubo, Hino, Tokyo, 191-8506, Japan

4. Department of Mathematics and Computer Science, Kagoshima University, 1-21-35 Kōrimoto Kagoshima, Kagoshima 890-8580, Japan

5. Department of Physics, Faculty of Science, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku Tokyo, 162-8601, Japan

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887819500555

Reference18 articles.

1. Riemannian geometry in spaces with Grassman coordinates

2. Relatively and supersymmetries

3. Quantum superspace

4. Twistor-like transform in ten dimensions

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