Brane Tilings and Specular Duality
arXiv:1206.2386 · doi:10.1007/JHEP08(2012)107
Abstract
We study a new duality which pairs 4d N=1 supersymmetric quiver gauge theories. They are represented by brane tilings and are worldvolume theories of D3 branes at Calabi-Yau 3-fold singularities. The new duality identifies theories which have the same combined mesonic and baryonic moduli space, otherwise called the master space. We obtain the associated Hilbert series which encodes both the generators and defining relations of the moduli space. We illustrate our findings with a set of brane tilings that have reflexive toric diagrams.
42 pages, 16 figures, 5 tables
References in corpus (41)
- Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
- Phases of Theories In Two Dimensions
- Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
- Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
- D-Branes And Mirror Symmetry
- Gauge Theories from Toric Geometry and Brane Tilings
- D-Brane Gauge Theories from Toric Singularities and Toric Duality
- Brane Dimers and Quiver Gauge Theories
- Counting Gauge Invariants: the Plethystic Program
- Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
- Dimer models and toric diagrams
- Toric Duality as Seiberg Duality and Brane Diamonds
- Toric Duality Is Seiberg Duality
- Phase Structure of D-brane Gauge Theories and Toric Duality
- Brane Tilings
- Symmetries of Toric Duality
- The Master Space of N=1 Gauge Theories
- Quivers, Tilings, Branes and Rhombi
- Brane Tilings and M2 Branes
- Brane Tilings and Their Applications
- Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds
- Counting Chiral Operators in Quiver Gauge Theories
- New Calabi-Yau Manifolds with Small Hodge Numbers
- On the Classification of Reflexive Polyhedra
- Brane Tilings and Reflexive Polygons
- Dimers and Orientifolds
- Conformal Manifolds for the Conifold and other Toric Field Theories
- Brane Tilings and Exceptional Collections
- Mastering the Master Space
- On moduli spaces of quiver representations associated with dimer models
- Counting Orbifolds
- Master Space, Hilbert Series and Seiberg Duality
- Symmetries of Abelian Orbifolds
- New results on superconformal quivers
- A Trio of Dualities: Walls, Trees and Cascades
- Sublattice Counting and Orbifolds
- Rhombic embeddings of planar graphs with faces of degree 4
- Dimer Models, Integrable Systems and Quantum Teichmuller Space
- Calabi-Yau Orbifolds and Torus Coverings
- An Introduction to Counting Orbifolds
- Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions
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- Network and Seiberg Duality
- Chiral theories of class S
- New Directions in Bipartite Field Theories
- Unoriented Quivers with Flavour
- A Dimer ABC
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- Gauge Theories and Dessins d'Enfants: Beyond the Torus
- Neurons on Amoebae
- Scattering Amplitudes and Toric Geometry
- Double Handled Brane Tilings
- Infrared Duality in Unoriented Pseudo del Pezzo
- Twin Theories, Polytope Mutations and Quivers for GTPs
- Mass Deformations of Unoriented Quiver Theories
- Hilbert Series and Moduli Spaces of k U(N) Vortices
- Bipartite field theories and D-brane instantons
- Gauge Theories, Tessellations & Riemann Surfaces
- On the Master Space for Brane Brick Models
- Neutron Majorana mass from Exotic Instantons in a Pati-Salam model
- Futaki Invariants and Reflexive Polygons
- Mahler Measure for a Quiver Symphony
- Quiver Gauge Theories: Beyond Reflexivity
- Algebro-geometrical orientifolds and IR dualities
- Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
- Reflexions on Mahler: Dessins, Modularity and Gauge Theories
- Quiver-Invariant Dualities between Brane Tilings
- Hilbert Series of Bipartite Field Theories
- Metaheuristic Generation of Brane Tilings