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Superalgebras, constraints and partition functions

Martin Cederwall (Institutionen för fundamental fysik) ; Jakob Palmkvist
Journal of High Energy Physics (1029-8479). Vol. 2015 (2015), 8,
[Artikel, refereegranskad vetenskaplig]

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.

Denna post skapades 2015-03-25. Senast ändrad 2015-12-09.
CPL Pubid: 214263


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Institutioner (Chalmers)

Institutionen för fundamental fysik (2005-2015)


Algebra och logik
Matematisk fysik

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