English

Geometry of branes on supergroups

High Energy Physics - Theory 2009-02-16 v1

Abstract

In this note we analyze the geometry of maximally symmetric boundary conditions in Lie supergroup Wess-Zumino-Novikov-Witten models. We find that generically the worldvolume of a brane is a twisted superconjugacy class, very much like in the Lie group case. Whenever the brane is not completely delocalized in the fermionic directions a new atypical class of branes arises. We give an example of these new branes and show for type I supergroups and trivial gluing conditions that they can be naturally associated with atypical representations of the affine Lie superalgebra.

Keywords

Cite

@article{arxiv.0809.0468,
  title  = {Geometry of branes on supergroups},
  author = {Thomas Creutzig},
  journal= {arXiv preprint arXiv:0809.0468},
  year   = {2009}
}

Comments

25 pages, 1 figure

R2 v1 2026-06-21T11:16:10.608Z