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D-branes and KK-theory in Type I String Theory

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arxiv hep-th/0202165 v2 pith:RWA7PWAF submitted 2002-02-25 hep-th

classification hep-th
keywords theoryd-branesd-branekk-theorystringtypeunstablealgebra
verification ladder T0 review T1 audit T2 compute T3 formal
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We analyse unstable D-brane systems in type I string theory. Generalizing the proposal in hep-th/0108085, we give a physical interpretation for real KK-theory and claim that the D-branes embedded in a product space X x Y which are made from the unstable Dp-brane system wrapped on Y are classified by a real KK-theory group KKO^{p-1}(X,Y). The field contents of the unstable D-brane systems are systematically described by a hidden Clifford algebra structure. We also investigate the matrix theory based on non-BPS D-instantons and show that the spectrum of D-branes in the theory is exactly what we expect in type I string theory, including stable non-BPS D-branes with Z_2 charge. We explicitly construct the D-brane solutions in the framework of BSFT and analyse the physical property making use of the Clifford algebra.

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  1. Anomalies and D-branes in the Dabholkar-Park background

    hep-th 2024-12 conditional novelty 6.0 of 10

    Stable D-branes in the Dabholkar-Park background are derived from world-sheet anomalies with boundary Majorana fermions, matching the known relative KR-theory classification and explaining its 4-fold periodicity.

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