Moduli Spaces for D-branes at the Tip of a Cone

Abstract

For physicists: We show that the quiver gauge theory derived from a Calabi-Yau cone via an exceptional collection of line bundles on the base has the original cone as a component of its classical moduli space. For mathematicians: We use data from the derived category of sheaves on a Fano surface to construct a quiver, and show that its moduli space of representations has a component which is isomorphic to the anticanonical cone over the surface.

8 pages

References in corpus (7)

• Building the Standard Model on a D3-brane
• Superpotentials for Quiver Gauge Theories
• D-Branes on Vanishing del Pezzo Surfaces
• Exceptional collections and D-branes probing toric singularities
• Moduli spaces for Bondal quivers
• D-Branes, Pi-Stability and Theta-Stability
• Undoing Orbifold Quivers

Cited by in corpus (10)

• Brane Tilings and Exceptional Collections
• Exceptional Sequences of Invertible Sheaves on Rational Surfaces
• Symmetry-breaking vacua and baryon condensates in AdS/CFT
• Moduli spaces for Bondal quivers
• Geometry of Particle Physics
• Branes and instantons intersecting at angles
• Stability Conditions and Branes at Singularities
• The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus
• Parameter Space of Quiver Gauge Theories
• Deformations and D-branes