Discrete torsion orbifolds and D-branes II
arXiv:hep-th/0101143 · doi:10.1088/1126-6708/2001/04/013
Abstract
The consistency of the orbifold action on open strings between D-branes in orbifold theories with and without discrete torsion is analysed carefully. For the example of the C^3/Z_2 x Z_2 theory, it is found that the consistency of the orbifold action requires that the D-brane spectrum contains branes that give rise to a conventional representation of the orbifold group as well as branes for which the representation is projective. It is also shown how the results generalise to the orbifolds C^3/Z_N x Z_N for which a number of novel features arise. In particular, the N>2 theories with minimal discrete torsion have non-BPS branes charged under twisted R-R potentials that couple to none of the (known) BPS branes.
arXiv comment30 pages, harvmac b-mode; v2: added arguments in support of stability of non-BPS brane in section 4.2; v3: review subsection added to introduction, minor corrections
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