Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-02
Nucl.Phys.B812:301-321,2009
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 1 figure
Scientific paper
10.1016/j.nuclphysb.2008.10.006
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.
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