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D-branes in \(N=2\) WZW models. (English) Zbl 1032.81028

Summary: We briefly review the construction of \(N=2\) WZW models in terms of Manin triples. We analyse the restrictions which should be imposed on the gluing conditions of the affine currents in order to preserve half of the bulk supersymmetry. In analogy with the Kähler case there are two types of D-branes, A- and B-types which have a nice algebraic interpretation in terms of the Manin triple.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T10 Model quantum field theories
81T60 Supersymmetric field theories in quantum mechanics
81T08 Constructive quantum field theory
81T05 Axiomatic quantum field theory; operator algebras

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