Explicit Non-Abelian Gerbes with Connections

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Abstract

We derive the complete cocycle description for non-Abelian gerbes with connections whose structure 2-group is a 2-group with adjustment datum. We depart from the common fake-flat connections and employ adjusted connections, which is important for physical applications, especially in the context of supergravity. We give a number of explicit examples; in particular, we lift the principal bundle corresponding to an instanton-anti-instanton pair to a string 2-group bundle. We also outline how categorified forms of Bogomolny monopoles known as self-dual strings can be obtained via a Penrose-Ward transform of string bundles over twistor space.
Original languageEnglish
PublisherarXiv
Publication statusPublished - 28 Feb 2022

Keywords

  • hep-th
  • math-ph
  • math.DG
  • math.MP

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