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

Abstract

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.

31 pages, corrected typos, added references

References in corpus (5)

• Boundary String Field Theory of the DDbar System
• Brane-Antibrane Action from Boundary String Field Theory
• D-branes, Matrix Theory and K-homology
• The fate of the type I non-BPS D7-brane
• A Construction of Commutative D-branes from Lower Dimensional Non-BPS D-branes

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• Supertubes in Matrix model and DBI action
• Metastable vacua from torsion and machine learning