Off-shell Hodge dualities in linearised gravity and E-11

TY - JOUR

T1 - Off-shell Hodge dualities in linearised gravity and E-11

AU - Boulanger, Nicolas

AU - Cook, Paul P.

AU - Ponomarev, Dmitry

PY - 2012/9

Y1 - 2012/9

N2 - 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 E-11 and are associated with null and imaginary roots.

AB - 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 E-11 and are associated with null and imaginary roots.

U2 - 10.1007/JHEP09(2012)089

DO - 10.1007/JHEP09(2012)089

M3 - Article

SN - 1126-6708

VL - 2012

SP - -

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 9

M1 - 089

ER -