How to get a spinning string from here to there Urs Schreiber June 3, 2007 joint work, in parts, with John Baez Alissa Crans Jim Stasheff Danny Stevenson Konrad Waldorf inspired, in parts, by Stephan Stolz and Peter Teichner Contents 1 The need for String(n)-Bundles 2 2 What is String(n), anyway? 3 3 Connections, functorially: from here to there 6 4 2-Connections on String(n)-2-bundles 7 5 The canonical 2-Representation 8 6 Line 2-bundles versus String(n)-2-bundles 10 7 Cartan connection with values in Lie n-algebras 11 8 String and Chern-Simons connections 14 1