Dual Linearised Gravity in Arbitrary Dimensions

Details Dual Linearised Gravity in Arbitrary Dimensions Dual Linearised Gravity in Arbitrary Dimensions

2004-11-22

arxiv.org/abs/hep-th/0411202v3

Class.Quant.Grav. 22 (2005) 5385-5396

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, typos corrected, Published version: Class. Quantum Grav. 22(2005)5385

Scientific paper

10.1088/0264-9381/22/24/011

We construct dual formulation of linearised gravity in first order tetrad formalism in arbitrary dimensions within the path integral framework following the standard duality algorithm making use of the global shift symmetry of the tetrad field. The dual partition function is in terms of the (mixed symmetric) tensor field $\Phi_{[\nu_{1}\nu_{2}...\nu_{d-3}]\nu}$ in {\it frame-like} formulation. We obtain in d-dimensions the dual Lagrangian in a closed form in terms of field strength of the dual frame-like field. Next by coupling a source with the (linear) Riemann tensor in d-dimensions, dual generating functional is obtained. Using this an operator mapping between (linear) Riemann tensor and Riemann tensor corresponding to the dual field is derived and we also discuss the exchange of equations of motion and Bianchi identity.

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