9 citations · 20 across the 8 of their papers we have counts for
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Non-associative structures in extended geometry
Martin Cederwall, Jakob Palmkvist
We consider a generalisation of vector fields on a vector space, where the vector space is generalised to a highest-weight module over a Kac-Moody algebra. The generalised vector f…
Gradient structures from extensions of over-extended Kac-Moody algebras
Martin Cederwall, Jakob Palmkvist
Over-extended Kac-Moody algebras contain so-called gradient structures - a gl(d)-covariant level decomposition of the algebra contains strings of modules at different levels that c…
Teleparallel Geroch geometry
Guillaume Bossard, Martin Cederwall, Jakob Palmkvist
We construct the teleparallel dynamics for extended geometry where the structure algebra is (an extension of) an untwisted affine Kac-Moody algebra. This provides a geometrisation…
Canonical supermultiplets and their Koszul duals
Martin Cederwall, Simon Jonsson, Jakob Palmkvist +1
The pure spinor superfield formalism reveals that, in any dimension and with any amount of supersymmetry, one particular supermultiplet is distinguished from all others. This "cano…
The teleparallel complex
Martin Cederwall, Jakob Palmkvist
We formalise the teleparallel version of extended geometry (including gravity) by the introduction of a complex, the differential of which provides the linearised dynamics. The mai…
Extended geometry of magical supergravities
Guillaume Bossard, Martin Cederwall, Axel Kleinschmidt +3
We provide, through the framework of extended geometry, a geometrisation of the duality symmetries appearing in magical supergravities. A new ingredient is the general formulation…