Superalgebras, constraints and partition functions
Journal article, 2015

We consider Borcherds superalgebras obtained from semisimple finite-dimensional Lie algebras by adding an odd null root to the simple roots. The additional Serre relations can be expressed in a covariant way. The spectrum of generators at positive levels are associated to partition functions for a certain set of constrained bosonic variables, the constraints on which are complementary to the Serre relations in the symmetric product. We give some examples, focusing on superalgebras related to pure spinors, exceptional geometry and tensor hierarchies, of how construction of the content of the algebra at arbitrary levels is simplified.


Martin Cederwall

Chalmers, Fundamental Physics

Jakob Palmkvist

Texas A&M University

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 2015 8 36

Subject Categories

Algebra and Logic

Other Physics Topics


Basic sciences



More information