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