Higher Structure Conferences Waldorf (Rev #2, changes)

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Transgression String of structures n-bundles and extended spin field structures theories on loop spaces

Abstract: I Supersymmetric will sigma try models to are explain 2-dimensional how an n-bundle with connection can be regarded as the value of an n-dimensional topological field theory theories which suffer from a so-called global worldsheet anomaly. Two ways of trivializing this anomaly have been proposed: by Stolz-Teichner using string structures on the point. target The space, values and on higher dimensional manifolds are then derived by transgression, Killingback with using the spin holonomy structures functional on of its the loop n-bundle space. in top dimension. I will discuss present situations an in enhanced version of Killingbacks spin structures for which the converse two question, approaches i.e. become whether equivalent. or It not incorporates a fusion non-extended products field and theory thin can homotopy be equivariance. extended The all main tools are the way transgression down to the point, has a precise answer. I will try to elucidate this in the examples of B-fields 2-gerbes for sigma models and of lifting the gerbes. Chern-Simons 2-gerbe.