D-branes on group manifolds
Copyright policy )D-branes on group manifolds
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 $S^1$ factor, the D-brane moduli space becomes hermitian symmetric space and the open string world-sheet instantons are allowed.
16 pages, LaTeX
- University of Tokyo Japan
High Energy Physics - Theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, untwisted super Kac Moody symmetry, Abelian \(T\)-duality, hermitian symmetric space, FOS: Physical sciences, compact simple Lie groups, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Wess Zumino Witten models, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, irreducible Riemannian symmetric space, High Energy Physics - Theory (hep-th)
High Energy Physics - Theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, untwisted super Kac Moody symmetry, Abelian \(T\)-duality, hermitian symmetric space, FOS: Physical sciences, compact simple Lie groups, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Wess Zumino Witten models, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, irreducible Riemannian symmetric space, High Energy Physics - Theory (hep-th)
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