59th Annual AustMS Meeting, Adelaide, Australia, 2015

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Details of talk

TitleHomogeneous String connections
PresenterDavid Roberts (The University of Adelaide)
Author(s)Dr David Roberts
SessionGeometry and Topology
Time15:40:00 2015-10-01

Higher gauge theory has inspired the theory of String bundles, or more generally
2-bundles, which for suitable choices of manifold and 2-group should form the
background geometry for heterotic string theories. Examples with enough detail
for geometric or even analytic calculations have been hard to come by, but in
the case of homogeneous geometry one can give explicit Lie groupoids that give
the higher bundle structure. The next step is clearly to find \emph{String
connections} on such higher bundles. This talk will present the theory of
homogeneous 2-connections and give examples of geometric String structures
on homogeneous spaces. These are one of several equivalent ways to present the
data of String connections. This is joint work with Raymond Vozzo.