D-branes, Discrete Torsion and the McKay Correspondence

Details D-branes, Discrete Torsion and the McKay Correspondence D-branes, Discrete Torsion and the McKay Correspondence

2000-09-06

arxiv.org/abs/hep-th/0009042v2

JHEP 0102:009,2001

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 5 figures, LaTeX2e, minor changes

Scientific paper

10.1088/1126-6708/2001/02/009

We analyze the D-branes of a type IIB string theory on an orbifold singularity including the possibility of discrete torsion following the work of Douglas et al. First we prove some general results about the moduli space of a point associated to the "regular representation" of the orbifold group. This includes some analysis of the "wrapped branes" which necessarily appear when the orbifold singularity is not isolated. Next we analyze the stringy homology of the orbifold using the McKay correspondence and the relationship between K-theory and homology. We find that discrete torsion and torsion in this stringy homology are closely-related concepts but that they differ in general. Lastly we question to what extent the D-1 brane may be thought of as being dual to a string.

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