15 citations · 48 across the 14 of their papers we have counts for
4 papers · 1 filter
Super Finsler Connection of Superparticle on Two Dimensional Curved Spacetime
Takayoshi Ootsuka, Muneyuki Ishida, Erico Tanaka +1
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…
Finsler Geometrical Path Integral
Takayoshi Ootsuka, Erico Tanaka
A new definition for the path integral is proposed in terms of Finsler geometry. The conventional Feynman's scheme for quantisation by Lagrangian formalism suffers problems due to…
Non-associative Gauge Theory
Takayoshi Ootsuka, Erico Tanaka, Eugene Loginov
We present a construction of gauge theory which its structure group is not a Lie group, but a Moufang loop which is essentially non-associative. As an example of non-associative al…
Spin(7) holonomy manifold and Superconnection
Yukinori Yasui, Takayoshi Ootsuka
We discuss the higher dimensional generalization of gravitational instantons by using volume-preserving vector fields. We give special attention to the case of 8-dimensions and pre…