1|1 Parallel Transport and Connections

Details 1|1 Parallel Transport and Connections 1|1 Parallel Transport and Connections

2010-11-23

arxiv.org/abs/1011.5016v2

Mathematics

Differential Geometry

19 pages; v2: added Section 4.3 completing proof and further remarks

Scientific paper

A vector bundle with connection over a supermanifold leads naturally to a
notion of parallel transport along superpaths. In this note we show that {\it
every} such parallel transport along superpaths comes form a vector bundle with
connection, at least when the base supermanifold is a manifold.

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