D-branes in Orbifold Singularities and Equivariant K-Theory
arXiv:hep-th/9812226 · doi:10.1016/S0550-3213(99)00270-9
Abstract
The study of brane-antibrane configurations in string theory leads to the understanding of supersymmetric D-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.
32 pages, harvmac file, no figures, version to appear in Nucl.Phys.B
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