Deformations of Toric Singularities and Fractional Branes
arXiv:hep-th/0603253 · doi:10.1088/1126-6708/2006/10/080
Abstract
Fractional branes added to a large stack of D3-branes at the singularity of a Calabi-Yau cone modify the quiver gauge theory breaking conformal invariance and leading to different kinds of IR behaviors. For toric singularities admitting complex deformations we propose a simple method that allows to compute the anomaly free rank distributions in the gauge theory corresponding to the fractional deformation branes. This algorithm fits Altmann's rule of decomposition of the toric diagram into a Minkowski sum of polytopes. More generally we suggest how different IR behaviors triggered by fractional branes can be classified by looking at suitable weights associated with the external legs of the (p,q) web. We check the proposal on many examples and match in some interesting cases the moduli space of the gauge theory with the deformed geometry.
arXiv comment40 pages, 23 figures; typos corrected
References in corpus (40)
- Supergravity and a Confining Gauge Theory: Duality Cascades and SB-Resolution of Naked Singularities
- Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
- The Exact Superconformal R-Symmetry Maximizes a
- Gauge Theories from Toric Geometry and Brane Tilings
- An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
- Brane Dimers and Quiver Gauge Theories
- Supersymmetric AdS_5 solutions of M-theory
- The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds
- The 2004 UTfit Collaboration Report on the Status of the Unitarity Triangle in the Standard Model
- New Einstein-Sasaki Spaces in Five and Higher Dimensions
- Dimer models and toric diagrams
- Toric Geometry, Sasaki-Einstein Manifolds and a New Infinite Class of AdS/CFT Duals
- Toric Sasaki-Einstein metrics on S^2 x S^3
- From Sasaki-Einstein spaces to quivers via BPS geodesics: Lpqr
- New checks and subtleties for AdS/CFT and a-maximization
- The dual superconformal theory for Lpqr manifolds
- R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization
- Fractional Branes and Dynamical Supersymmetry Breaking
- Supersymmetry Breaking from a Calabi-Yau Singularity
- Supersymmetry breaking at the end of a cascade of Seiberg dualities
- Cascading RG Flows from New Sasaki-Einstein Manifolds
- Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
- Quiver Theories from D6-branes via Mirror Symmetry
- Five-dimensional Supergravity Dual of a-Maximization
- The Toric Phases of the Y^{p,q} Quivers
- A New Infinite Class of Quiver Gauge Theories
- Multi-Flux Warped Throats and Cascading Gauge Theories
- Gauge Theories at Resolved and Deformed Singularities using Dimers
- From Toric Geometry to Quiver Gauge Theory: the Equivalence of a-maximization and Z-minimization
- Brane Tilings and Exceptional Collections
- The Runaway Quiver
- Current Correlators and AdS/CFT Geometry
- Comments on the non-conformal gauge theories dual to Ypq manifolds
- A New Infinite Class of Sasaki-Einstein Manifolds
- Comments on Anomalies and Charges of Toric-Quiver Duals
- Exceptional collections and D-branes probing toric singularities
- Dimer Models from Mirror Symmetry and Quivering Amoebae
- Quantum Deformations from Toric Geometry
- The versal Deformation of an isolated toric Gorenstein Singularity
- Triangle Anomalies from Einstein Manifolds
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- Baryonic Generating Functions
- Comments on the non-conformal gauge theories dual to Ypq manifolds
- Superconformal field theories from crystal lattices
- Deformations of conformal theories and non-toric quiver gauge theories
- On Stable Non-Supersymmetric Vacua at the Bottom of Cascading Theories
- Anomalies and O-plane charges in orientifolded brane tilings
- Global symmetries and 't Hooft anomalies in brane tilings
- Invariants of Toric Seiberg Duality
- Master Space and Hilbert Series for N=1 Field Theories
- Gauge/gravity duality and the interplay of various fractional branes
- Dimers, Orientifolds and Stability of Supersymmetry Breaking Vacua
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- A Quiver of Many Runaways
- Charges and homologies in AdS_4/CFT_3
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- Singularity, Sasaki-Einstein manifold, Log del Pezzo surface and AdS/CFT correspondence: Part I
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