7 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…
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…
Classical BV cohomology of the spinning particle
Eugenia Boffo, Martin Cederwall
We show that the classical Batalin--Vilkovisky cohomology at negative ghost number of the spinning particle, observed in ref. arXiv:1511.02135, is removed by a Koszul--Tate resolut…
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…