Superalgebras, constraints and partition functions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2015-08

AUTHORS

Martin Cederwall, Jakob Palmkvist

ABSTRACT

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. More... »

PAGES

36

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep08(2015)036

DOI

http://dx.doi.org/10.1007/jhep08(2015)036

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1026465813


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47 schema:description 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.
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