D-particles on T^4/Z_n orbifolds and their resolutions

Details D-particles on T^4/Z_n orbifolds and their resolutions D-particles on T^4/Z_n orbifolds and their resolutions

1998-07-06

arxiv.org/abs/hep-th/9807040v2

Nucl.Phys. B539 (1999) 135-165

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 3 figures; very minor typos corrected, 2 references added

Scientific paper

10.1016/S0550-3213(98)00754-8

We formulate the effective field theory of a D-particle on orbifolds of $T^4$ by a cyclic group as a gauge theory in a $V$-bundle over the dual orbifold. We argue that this theory admits Fayet-Iliopoulos terms analogous to those present in the case of noncompact orbifolds. In the $n=2$ case, we present some evidence that turning on such terms resolves the orbifold singularities and may lead to a $K3$ surface realized as a blow up of the fixed points of the cyclic group action.

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