Off-shell Hodge dualities in linearised gravity and E11

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2012-09, Vol.2012 (9)
Main Authors: Boulanger, Nicolas, Cook, Paul. P., Ponomarev, Dmitry
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Gravitation
Gravitons
High energy physics
Linearization
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
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Summary:A bstract 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.
ISSN:1029-8479
DOI:10.1007/JHEP09(2012)089