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.
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Cook, P.P., Fleming, M. Gravitational coset models. J. High Energ. Phys. 2014, 115 (2014). https://doi.org/10.1007/JHEP07(2014)115
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DOI: https://doi.org/10.1007/JHEP07(2014)115