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Author Boulanger, Nicolas ♦ Cook, Paul P. ♦ Ponomarev, Dmitry
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Dual Graviton ♦ Supplementary Mixed-symmetry Field ♦ Generalised Kac-moody Algebra E11 ♦ Gauge Invariance ♦ Double-dual Graviton ♦ Young Diagram ♦ Imaginary Root ♦ Infinite Number ♦ Off-shell Dualisation ♦ Many Off-shell Duality ♦ Precise Off-shell Field Content ♦ Equivalent Action
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.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article