Kähler Moduli Space of a D-Brane at Orbifold Singularities

Abstract

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 ${\mathbb{C}}^d/\Gamma$ using the theory of toric quotients. This approach elucidates the structure of the Kähler moduli space associated with the problem. As an application, we compute the toric data of the $\Gamma$-Hilbert scheme.

41 pages (double spacing version)

References in corpus (3)

• D-Brane Topology Changing Transitions
• Conifolds From D-branes
• On a series of Gorenstein cyclic quotient singularities admitting a unique projective crepant resolution

Cited by in corpus (6)

• String compactifications on Calabi-Yau stacks
• D-branes in Orbifold Singularities and Equivariant K-Theory
• Supertwistor Orbifolds: Gauge Theory Amplitudes and Topological Strings
• D-branes on Fourfolds with Discrete Torsion
• A McKay-Like Correspondence for (0,2)-Deformations
• D-Branes and Hilbert Schemes