D3-branes on partial resolutions of abelian quotient singularities of Calabi-Yau threefolds


Journal Article

We investigate field theories on the world-volume of a D3-brane transverse to partial resolutions of a ℤ3 × ℤ3 Calabi-Yau threefold quotient singularity. We deduce the field content and Lagrangian of such theories and present a systematic method for mapping the moment map levels characterizing the partial resolutions of the singularity to the Fayet-Iliopoulos parameters of the D-brane world-volume theory. As opposed to the simpler cases studied before, we find a complex web of partial resolutions and associated field-theoretic Fayet-Iliopoulos deformations. The analysis is performed by toric methods, leading to a structure which can be efficiently described in the language of convex geometry. For the world-volume theory, the analysis of the moduli space has an elegant description in terms of quivers. As a by-product, we present a systematic way of extracting the birational geometry of the classical moduli spaces, thus generalizing previous work on resolution of singularities by D-branes. © 2000 Elsevier Science B.V. All rights reserved.

Full Text

Duke Authors

Cited Authors

  • Beasley, C; Greene, BR; Lazaroiu, CI; Plesser, MR

Published Date

  • February 7, 2000

Published In

Volume / Issue

  • 566 / 3

Start / End Page

  • 599 - 641

International Standard Serial Number (ISSN)

  • 0550-3213

Digital Object Identifier (DOI)

  • 10.1016/S0550-3213(99)00646-X

Citation Source

  • Scopus