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E8 geometry

Martin Cederwall (Institutionen för fundamental fysik) ; J.A. Rosabal
(2015)
[Preprint]

We investigate exceptional generalised diffeomorphisms based on E_8(8) in a geometric setting. The transformations include gauge transformations for the dual gravity field. The surprising key result, which allows for a development of a tensor formalism, is that it is possible to define field-dependent transformations containing connection, which are covariant. We solve for the spin connection and construct a curvature tensor. A geometry for the Ehlers symmetry SL(n+1) is sketched. Some related issues are discussed.



Denna post skapades 2015-04-21.
CPL Pubid: 215458

 

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Institutioner (Chalmers)

Institutionen för fundamental fysik (2005-2015)

Ämnesområden

Geometri
Matematisk fysik
Relativitetsteori, gravitation

Chalmers infrastruktur