D-branes in Orbifold Singularities and Equivariant K-Theory

Details D-branes in Orbifold Singularities and Equivariant K-Theory D-branes in Orbifold Singularities and Equivariant K-Theory

1998-12-23

arxiv.org/abs/hep-th/9812226v3

Nucl.Phys. B557 (1999) 480-504

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, harvmac file, no figures, version to appear in Nucl.Phys.B

Scientific paper

10.1016/S0550-3213(99)00270-9

The study of brane-antibrane configurations in string theory leads to the understanding of supersymmetric D$p$-branes as the bound states of higher dimensional branes. Configurations of pairs brane-antibrane do admit in a natural way their description in terms of K-theory. We analyze configurations of brane-antibrane at fixed point orbifold singularities in terms of equivariant K-theory as recently suggested by Witten. Type I and IIB fivebranes and small instantons on ALE singularities are described in K-theoretic terms and their relation to Kronheimer-Nakajima construction of instantons is also provided. Finally the D-brane charge formula is reexamined in this context.

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