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Off-Shell Hodge Dualities in Linearised Gravity and E11

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arxiv 1205.2277 v2 pith:J7UMJXFJ submitted 2012-05-10 hep-th

Off-Shell Hodge Dualities in Linearised Gravity and E11

classification hep-th
keywords off-shellgravitonactionsdualdualitiesgravitylengthlinearised
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In a spacetime of dimension n, the dual graviton is characterised by a Young diagram with two columns, the first of length n-3 and the second of length one. In this paper we perform the off-shell dualisation relating the dual graviton to the double-dual graviton, displaying the precise off-shell field content and gauge invariances. We then show that one can further perform infinitely many off-shell dualities, reformulating linearised gravity in an infinite number of equivalent actions. The actions require supplementary mixed-symmetry fields which are contained within the generalised Kac-Moody algebra E11 and are associated with null and imaginary roots.

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