Generalised cosets

Saskia Demulder, Falk Hassler, Giacomo Piccinini, Daniel C. Thompson

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


Recent work has shown that two-dimensional non-linear s-models on group manifolds with Poisson-Lie symmetry can be understood within generalised geometry as exemplars of generalised parallelisable spaces. Here we extend this idea to target spaces constructed as double cosets M = G˜ \/H. Mirroring conventional coset geometries, we show that on M one can construct a generalised frame field and a H -valued generalised spin connection that together furnish an algebra under the generalised Lie derivative. This results naturally in a generalised covariant derivative with a (covariantly) constant generalised intrinsic torsion, lending itself to the construction of consistent truncations of 10-dimensional supergravity compactified on M. An important feature is that M can admit distinguished points, around which the generalised tangent bundle should be augmented by localised vector multiplets. We illustrate these ideas with explicit examples of two-dimensional parafermionic theories and NS5-branes on a circle.

Original languageEnglish
Article number44
JournalJournal of High Energy Physics
Issue number9
StatePublished - 1 Sep 2020
Externally publishedYes


  • Integrable Field Theories
  • Sigma Models
  • String Duality

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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