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arxiv: 0809.0468 · v1 · submitted 2008-09-02 · ✦ hep-th

Geometry of branes on supergroups

classification ✦ hep-th
keywords branesatypicalbraneclassconditionsgeometrysupergroupsaffine
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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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