D-Branes and Quotient Singularities of Calabi-Yau Fourfolds

Abstract

We investigate a (0,2) gauge theory realized on the world volume of the type IIB D1-brane at the singular point of a Calabi-Yau fourfold. It is argued that the gauge anomaly can be canceled via coupling to the R-R chiral bosons in bulk IIB string. We find that for a generic choice of the Fayet-Iliopoulos parameters on the world volume, the Higgs moduli space is a smooth fourfold birational to the original Calabi-Yau fourfold, but is not necessarily a Calabi-Yau manifold.

24 pages, version 2.1, to appear in Nucl. Phys. B

References in corpus (3)

• Orbifold Resolution by D-Branes
• New Phases of String Theory and 6d RG Fixed Points via Branes at Orbifold Singularities
• Consistency Conditions for Branes at Orbifold Singularities

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• Brane Box Realization of Chiral Gauge Theories in Two Dimensions
• 4d $\mathcal{N}=2$ S-folds
• F-theory and 2d (0,2) Theories
• D-branes in Orbifold Singularities and Equivariant K-Theory
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• Elliptic Genera of 2d (0,2) Gauge Theories from Brane Brick Models
• Calabi-Yau Volumes and Reflexive Polytopes
• $3d$ Printing of $2d$ $\mathcal{N}=(0,2)$ Gauge Theories
• B-branes and supersymmetric quivers in 2d
• Strings on Eight-Orbifolds
• Holomorphic field theories and Calabi--Yau algebras
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• D-particles on T^4/Z_n orbifolds and their resolutions
• Fano 3-Folds, Reflexive Polytopes and Brane Brick Models
• D-branes on Fourfolds with Discrete Torsion
• 2d $\mathcal{N}=(0,1)$ Gauge Theories and Spin(7) Orientifolds
• Spin(7) Orientifolds and 2d $\mathcal{N}=(0,1)$ Triality
• BFT${}_2$: a General Class of $2d$ $\mathcal{N}=(0,2)$ Theories, 3-Manifolds and Toric Geometry
• 2d dualities from 4d
• Tetrahedron duality
• On Phases of Generic Toric Singularities