Gauge Theories at Resolved and Deformed Singularities using Dimers
arXiv:hep-th/0603108 · doi:10.1088/1126-6708/2006/06/055
Abstract
The gauge theory on a set of D3-branes at a toric Calabi-Yau singularity can be encoded in a tiling of the 2-torus denoted dimer diagram (or brane tiling). We use these techniques to describe the effect on the gauge theory of geometric operations partially smoothing the singularity at which D3-branes sit, namely partial resolutions and complex deformations. More specifically, we describe the effect of arbitrary partial resolutions, including those which split the original singularity into two separated. The gauge theory correspondingly splits into two sectors (associated to branes in either singularity) decoupled at the level of massless states. We also describe the effect of complex deformations, associated to geometric transitions triggered by the presence of fractional branes with confinement in their infrared. We provide tools to easily obtain the remaining gauge theory after such partial confinement.
47 pages, 41 figures
References in corpus (46)
- Supergravity and a Confining Gauge Theory: Duality Cascades and SB-Resolution of Naked Singularities
- Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
- D-branes, Quivers, and ALE Instantons
- Superstrings and Topological Strings at Large N
- Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
- Gauge Theories from Toric Geometry and Brane Tilings
- Branes, Superpotentials and Superconformal Fixed Points
- Orbifold Resolution by D-Branes
- D-Brane Gauge Theories from Toric Singularities and Toric Duality
- An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
- Brane Dimers and Quiver Gauge Theories
- The 2004 UTfit Collaboration Report on the Status of the Unitarity Triangle in the Standard Model
- Dimer models and toric diagrams
- A Geometric Unification of Dualities
- Anomalous U(1)'s in Type I and Type IIB D=4, N=1 string vacua
- Toric Duality as Seiberg Duality and Brane Diamonds
- Toric Duality Is Seiberg Duality
- 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
- An introduction to the dimer model
- Seiberg Duality for Quiver Gauge Theories
- D3-branes on partial resolutions of abelian quotient singularities of Calabi-Yau threefolds
- Brane Configurations for Branes at Conifolds
- On the realization of chiral four-dimensional gauge theories using branes
- Supersymmetry breaking at the end of a cascade of Seiberg dualities
- Cascading RG Flows from New Sasaki-Einstein Manifolds
- Chaotic Duality in String Theory
- Brane Boxes and Branes on Singularities
- Quiver Theories from D6-branes via Mirror Symmetry
- Mirror Symmetries for Brane Configurations and Branes at Singularities
- Unhiggsing the del Pezzo
- A New Infinite Class of Quiver Gauge Theories
- Quiver theories, soliton spectra and Picard-Lefschetz transformations
- Multi-Flux Warped Throats and Cascading Gauge Theories
- Manifolds, Mirror Symmetry and Geometric Engineering
- Seiberg Duality is an Exceptional Mutation
- Exceptional Collections and del Pezzo Gauge Theories
- The Runaway Quiver
- Dimer Models from Mirror Symmetry and Quivering Amoebae
- Rhombic embeddings of planar graphs with faces of degree 4
- Quantum Deformations from Toric Geometry
- Finite Theories and Marginal Operators on the Brane
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- Toric AdS4/CFT3 duals and M-theory Crystals
- Comments on the non-conformal gauge theories dual to Ypq manifolds
- Deformations of Toric Singularities and Fractional Branes
- M2-brane Probe Dynamics and Toric Duality
- Type IIB construction of flavoured ABJ(M) and fractional M2 branes
- Toric CFTs, Permutation Triples, and Belyi Pairs
- Local models of Gauge Mediated Supersymmetry Breaking in String Theory
- Bipartite Field Theories from D-Branes
- Global embeddings for branes at toric singularities
- E3-brane instantons and baryonic operators for D3-branes on toric singularities
- Supersymmetry Breaking Warped Throats and the Weak Gravity Conjecture
- Supersymmetry breaking metastable vacua in runaway quiver gauge theories
- Dimer Models, Integrable Systems and Quantum Teichmuller Space
- De Sitter Uplift with Dynamical Susy Breaking
- Orientifolds of Warped Throats from Toric Calabi-Yau Singularities
- Branes and instantons intersecting at angles
- Quiver Gauge Theory and Conformality at the TeV Scale
- Toric Lego: A method for modular model building
- Graded Quivers, Generalized Dimer Models and Toric Geometry
- D-brane Instantons as Gauge Instantons in Orientifolds of Chiral Quiver Theories
- On supersymmetry breaking vacua from D-branes at orientifold singularities
- Consistency and Derangements in Brane Tilings
- Degenerate Rotating Black Holes, Chiral CFTs and Fermi Surfaces I - Analytic Results for Quasinormal Modes
- Bipartite field theories and D-brane instantons
- A Note on Dimer Models and D-brane Gauge Theories
- Towards the Continuous Limit of Cluster Integrable Systems
- Backreacting D-brane instantons on branes at singularities
- Strongly coupled phases of S-duality
- The Octagon at large M
- Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a Computational Package in Mathematica
- On the structure of quadrilateral brane tilings