424 citations · 2.9k across the 101 of their papers we have counts for
5 papers · 1 filter
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…
SL(5) supersymmetry
Martin Cederwall
We consider supersymmetry in five dimensions, where the fermionic parameters are a 2-form under SL(5). Supermultiplets are investigated using the pure spinor superfield formalism,…
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…
Generators and relations for (generalised) Cartan type superalgebras
Lisa Carbone, Martin Cederwall, Jakob Palmkvist
In Kac's classification of finite-dimensional Lie superalgebras, the contragredient ones can be constructed from Dynkin diagrams similar to those of the simple finite-dimensional L…
Generators and relations for Lie superalgebras of Cartan type
Lisa Carbone, Martin Cederwall, Jakob Palmkvist
We give an analog of a Chevalley-Serre presentation for the Lie superalgebras W(n) and S(n) of Cartan type. These are part of a wider class of Lie superalgebras, the so-called tens…