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D-Branes on Group Manifolds

1996/12/13 by Mitsuhiro Kato, Tomoharu Okada
Physics and Astronomy · #hep-th

paper · pdf

published as Nucl.Phys. B499 (1997) 583-595 · 16 pages, LaTeX

arxiv created 1996/12/13 · arxiv updated 2009/11/30

Abstract

Possible Dirichlet boundary states for WZW models with untwisted affine super Kac-Moody symmetry are classified for all compact simple Lie groups. They are obtained by inner- and outer-automorphism of the group. D-brane world-volume turns out to be a group manifold of a symmetric subgroup, so that the moduli space of D-brane is a irreducible Riemannian symmetric space. It is also clarified how these D-branes are transformed to each other under abelian T-duality of WZW model. Our result implies, for example, there is no D-particle on the compact simple group manifold. When the D-brane world-volume contains S1 factor, the D-brane moduli space becomes hermitian symmetric space and the open string world-sheet instantons are allowed.

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