Off-Shell Hodge Dualities in Linearised Gravity and E11
High Energy Physics - Theory
2015-06-05 v2
Abstract
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.
Cite
@article{arxiv.1205.2277,
title = {Off-Shell Hodge Dualities in Linearised Gravity and E11},
author = {Nicolas Boulanger and Paul P. Cook and Dmitry Ponomarev},
journal= {arXiv preprint arXiv:1205.2277},
year = {2015}
}
Comments
33 pages, 2 figures, nomenclature changed and comments added to the conclusions