Comments on D-branes on Orbifolds and K-theory

Details Comments on D-branes on Orbifolds and K-theory Comments on D-branes on Orbifolds and K-theory

2007-03-13

arxiv.org/abs/hep-th/0703122v1

Int.J.Mod.Phys.A23:933-974,2008

Physics

High Energy Physics

High Energy Physics - Theory

47 pages

Scientific paper

10.1142/S0217751X08039906

We systematically revisit the description of $D$-branes on orbifolds and the classification of their charges via K-theory. We include enough details to make the results accessible to both physicists and mathematicians interested in these topics. The minimally charged branes predicted by K-theory in Z_N orbifolds with $N$ odd are only BPS. We confirm this result using the boundary state formalism for Z_3. For Z_N x Z_N orbifolds with and without discrete torsion, we show that the K-theory classification of charges agrees with the boundary state approach, largely developed by Gaberdiel and collaborators, including the types of representation on the Chan-Paton factors.

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