Kähler Moduli Space of a D-Brane at Orbifold Singularities

Details Kähler Moduli Space of a D-Brane at Orbifold Singularities Kähler Moduli Space of a D-Brane at Orbifold Singularities

1998-06-08

arxiv.org/abs/hep-th/9806052v3

Commun.Math.Phys. 202 (1999) 669-699

Physics

High Energy Physics

High Energy Physics - Theory

41 pages (double spacing version)

Scientific paper

10.1007/s002200050601

We develop a method to analyze systematically the configuration space of a D-brane localized at the orbifold singular point of a Calabi--Yau $d$-fold of the form ${\Bbb C}^d/\Gamma$ using the theory of toric quotients. This approach elucidates the structure of the K\"ahler moduli space associated with the problem. As an application, we compute the toric data of the $\Gamma$-Hilbert scheme.

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