T-duality as Correspondences of Categorified Principal Bundles with Adjusted Connections

Hyungrok Kim, Christian Saemann

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We provide a pedagogical introduction to the theory of principal 2-bundles with adjusted connections and show how they enter the description of geometric and non-geometric T-dualities as proposed in arXiv:2204.01783. This description combines the torus fibrations as well as the gerbe containing the Kalb–Ramond B-field into a single geometric object, a particular case of a non-abelian gerbe. The B-field and the metric are encoded in the connection of this categorified principal bundle, and a T-duality is described as a particular span or correspondence of such bundles. The formalism is manifestly covariant under the full T-duality group, and it readily reproduces key examples from the literature.

Original languageEnglish
Article number336
JournalProceedings of Science
Publication statusPublished - 8 Nov 2023
EventCorfu Summer Institute 2022: 22nd Hellenic School and Workshops on Elementary Particle Physics and Gravity - Corfu, Greece
Duration: 28 Aug 20221 Oct 2022


  • hep-th
  • math-ph
  • math.MP

ASJC Scopus subject areas

  • General


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