8 papers · 1 filter
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…
Some remarks on invariants
Martin Cederwall, Jessica Hutomo, Sergei M. Kuzenko +2
The demand to know the structure of functionally independent invariants of tensor fields arises in many problems of theoretical and mathematical physics, for instance for the const…
The octonionic phase space Hopf map
Martin Cederwall
The octonionic Hopf map, expressing as an bundle over , appears in the twistor transform in 10 dimensions, playing the rôle of the celestial sphere. A sy…
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…
BV actions for extended geometry
Martin Cederwall
I review the construction of actions for extended geometry from the grading of an underlying tensor hierarchy algebra, which provides the full set of Batalin-Vilkovisky fields. The…
Curvature of an exotic 7-sphere
David S. Berman, Martin Cederwall, Tancredi Schettini Gherardini
We study the geometry of the Gromoll-Meyer sphere, one of Milnor's exotic -spheres. We focus on a Kaluza-Klein Ansatz, with a round as base space, unit as fibre, and…