D-branes on group manifolds and deformation quantization
نویسندگان
چکیده
منابع مشابه
D-branes and Deformation Quantization
In this note we explain how world-volume geometries of D-branes can be reconstructed within the microscopic framework where D-branes are described through boundary conformal field theory. We extract the (non-commutative) world-volume algebras from the operator product expansions of open string vertex operators. For branes in a flat background with constant non-vanishing B-field, the operator pr...
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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 innerand 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 th...
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In this paper we compute the charge group for symmetry preserving D-branes on group manifolds for all simple, simply-connected, connected compact Lie groups G.
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After reviewing the D-branes as a conjugacy classes and various charge quantization (modulo k) in WZW model, we develop the classification and systematic construction of all possible untwisted D-branes in Lie groups of A-D-E series. Dbranes are classified according to their positions in the maximal torus. The moduli space of D-branes is naturally identified with unit cell in the weight space wh...
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We study modules over the algebroid stack WX of deformation quantization on a complex symplectic manifold X and recall some results: construction of an algebra for ⋆-products, existence of (twisted) simple modules along smooth Lagrangian submanifolds, perversity of the complex of solutions for regular holonomic WX -modules, finiteness and duality for the composition of “good” kernels. As a coro...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2001
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(01)00503-x