## Abstract

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 language | English |
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Article number | 115 |

Journal | Journal of High Energy Physics |

Volume | 2014 |

Issue number | 7 |

DOIs | |

Publication status | Published - 2014 |

## Keywords

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