D-branes in Nonabelian Orbifolds with Discrete Torsion

Details D-branes in Nonabelian Orbifolds with Discrete Torsion D-branes in Nonabelian Orbifolds with Discrete Torsion

2001-09-21

arxiv.org/abs/hep-th/0109170v1

Physics

High Energy Physics

High Energy Physics - Theory

21 pages LaTeX, one eps figure

Scientific paper

We study IIB string theory on the orbifold R^8/Gamma with discrete torsion where Gamma is an arbitrary subgroup of U(4). We extend some previously known identities for discrete torsion in abelian groups to nonabelian groups. We construct explicit formulas for a large class of fractional D-brane states and prove that the physical states are classified by projective representations of the orbifold group as predicted originally by Douglas. The boundary states are found to be linear combinations of Ishibashi states with the coefficients being characters of the projective representations.

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