Gravitational coset models

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The algebra A D∈-∈3 +∈+∈+ dimensionally reduces to the E D-1 symmetry algebra of (12 - D)-dimensional supergravity. An infinite set of five-dimensional gravitational objects embedded in D-dimensions is constructed by identifying the null geodesic motion on cosets embedded in the generalised Kac-Moody algebra A D∈-∈3 +∈+∈+. By analogy with super-gravity these are bound states of dual gravitons. The metric interpolates continuously between exotic gravitational solutions generated by the action of an affine sub-group. We investigate mixed-symmetry fields in the brane sigma model, identify actions for the full interpolating bound state and investigate the dualisation of the bound state to a solution of the Einstein-Hilbert action via the Hodge dual on multiforms. We conclude that the Hodge dual is insufficient to reconstruct solutions to the Einstein-Hilbert action from mixed-symmetry tensors.

Original languageEnglish
Article number115
JournalJournal of High Energy Physics
Issue number7
Publication statusPublished - 2014


  • Global Symmetries
  • Intersecting branes models
  • M-Theory
  • String Duality


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