3 papers
hep-th2026
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…
hep-th2025
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…
hep-th2024
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…