25 citations · 70 across the 12 of their papers we have counts for
13 papers
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…
Cartanification of contragredient Lie superalgebras
Martin Cederwall, Jakob Palmkvist
Let be a -graded Lie superalgebra equipped with an invariant -symmetric homogeneous bilinear form and containing a grading element. Its local part (in…
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…
Tensor hierarchy algebras and restricted associativity
Martin Cederwall, Jakob Palmkvist
We study local algebras, which are structures similar to -graded algebras concentrated in degrees , but without a product defined for pairs of elements at the s…
Teleparallelism in the algebraic approach to extended geometry
Martin Cederwall, Jakob Palmkvist
Extended geometry is based on an underlying tensor hierarchy algebra. We extend the previously considered structure of the local symmetries (the diffeomorphisms and thei…
Tensor hierarchy algebra extensions of over-extended Kac--Moody algebras
Martin Cederwall, Jakob Palmkvist
Tensor hierarchy algebras are infinite-dimensional generalisations of Cartan-type Lie superalgebras. They are not contragredient, exhibiting an asymmetry between positive and negat…
Nonlinear realisations of Lie superalgebras
Jakob Palmkvist
For any decomposition of a Lie superalgebra into a direct sum of a subalgebra and a subspace , without…
Galilean free Lie algebras
Joaquim Gomis, Axel Kleinschmidt, Jakob Palmkvist
We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing…
Oxidizing Borcherds symmetries
Axel Kleinschmidt, Jakob Palmkvist
The tensor hierarchy of maximal supergravity in D dimensions is known to be closely related to a Borcherds (super)algebra that is constructed from the global symmetry group E(11-D)…