The dual superconformal theory for Lpqr manifolds

Abstract

We present the superconformal gauge theory living on the world-volume of D3 branes probing the toric singularities with horizon the recently discovered Sasaki-Einstein manifolds L^{p,q,r}. Various checks of the identification are made by comparing the central charge and the R-charges of the chiral fields with the information that can be extracted from toric geometry. Fractional branes are also introduced and the physics of the associated duality cascade discussed.

arXiv comment38 pages and 13 figures; minor corrections

References in corpus (28)

• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
• The Exact Superconformal R-Symmetry Maximizes a
• Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics
• Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
• D-Brane Gauge Theories from Toric Singularities and Toric Duality
• An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
• Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
• Supersymmetric AdS_5 solutions of M-theory
• Einstein manifolds and conformal field theories
• Baryons and Domain Walls in an N = 1 Superconformal Gauge Theory
• Positivity Constraints on Anomalies in Supersymmetric Gauge Theories
• Toric Sasaki-Einstein metrics on S^2 x S^3
• The Baryonic Branch of Klebanov-Strassler Solution: a Supersymmetric Family of SU(3) Structure Backgrounds
• Phase Structure of D-brane Gauge Theories and Toric Duality
• New checks and subtleties for AdS/CFT and a-maximization
• Symmetry Breaking and Axionic Strings in the Warped Deformed Conifold
• On the realization of chiral four-dimensional gauge theories using branes
• A note on the holographic interpretation of string theory backgrounds with varying flux
• Cascading RG Flows from New Sasaki-Einstein Manifolds
• Brane Boxes and Branes on Singularities
• Chaotic Duality in String Theory
• On supersymmetric solutions of type IIB supergravity with general fluxes
• The Toric Phases of the Y^{p,q} Quivers
• Notes on SU(3) Structures in Type IIB Supergravity
• Branes in $L^{(p,q,r)}$

Cited by in corpus (112)

• Gauge Theories from Toric Geometry and Brane Tilings
• Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
• Sasaki-Einstein Manifolds and Volume Minimisation
• Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
• Tilings, Chern-Simons Theories and M2 Branes
• From Sasaki-Einstein spaces to quivers via BPS geodesics: Lpqr
• Quivers, Tilings, Branes and Rhombi
• R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization
• Brane Tilings and M2 Branes
• Brane Tilings and Their Applications
• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• The asymptotic growth of states of the 4d N=1 superconformal index
• Two-dimensional SCFTs from D3-branes
• Counting Chiral Operators in Quiver Gauge Theories
• A Holographic Derivation of the Weak Gravity Conjecture
• Weak Gravity Conjecture in AdS/CFT
• Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them
• Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries
• A geometric dual of $c$-extremization
• Dual Giant Gravitons in Sasaki-Einstein Backgrounds
• Counting BPS Baryonic Operators in CFTs with Sasaki-Einstein duals
• Dimers and Orientifolds
• Gauge Theories at Resolved and Deformed Singularities using Dimers
• New supersymmetric AdS_3 solutions
• From Toric Geometry to Quiver Gauge Theory: the Equivalence of a-maximization and Z-minimization
• Moduli Spaces of Gauge Theories from Dimer Models: Proof of the Correspondence
• Brane Tilings and Exceptional Collections
• F-theory and AdS_3/CFT_2 (2,0)
• Axion Monodromy Inflation on Warped Throats
• Gravity duals to deformed SYM theories and Generalized Complex Geometry
• Toric Sasaki-Einstein manifolds and Heun equations
• Black hole entropy function for toric theories via Bethe Ansatz
• Charting Class ${\mathcal{S}}_k$ Territory
• Lifshitz-like black brane thermodynamics in higher dimensions
• Baryonic Generating Functions
• The Large N Limit of Toric Chern-Simons Matter Theories and Their Duals
• Symmetry-breaking vacua and baryon condensates in AdS/CFT
• Comments on the non-conformal gauge theories dual to Ypq manifolds
• Deformations of conformal theories and non-toric quiver gauge theories
• Superconformal field theories from crystal lattices
• Janus and J-fold Solutions from Sasaki-Einstein Manifolds
• Deformations of Toric Singularities and Fractional Branes
• New Einstein-Sasaki and Einstein Spaces from Kerr-de Sitter
• Proving the equivalence of $c$-extremization and its gravitational dual for all toric quivers
• Comments on Anomalies and Charges of Toric-Quiver Duals
• New Directions in Bipartite Field Theories
• On Stable Non-Supersymmetric Vacua at the Bottom of Cascading Theories
• Colored BPS Pyramid Partition Functions, Quivers and Cluster Transformations
• Master Space, Hilbert Series and Seiberg Duality
• The non-integrability of $L^{a,b,c}$ quiver gauge theories
• Toric CFTs, Permutation Triples, and Belyi Pairs
• Exceptional collections and D-branes probing toric singularities
• Local models of Gauge Mediated Supersymmetry Breaking in String Theory
• D-brane probes on L^{abc} Superconformal Field Theories
• AdS/CFT with Tri-Sasakian Manifolds
• 3D Seiberg-like Dualities and M2 Branes
• Finite $N$ corrections to the superconformal index of toric quiver gauge theories
• A Comprehensive Survey of Brane Tilings
• Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories
• Giant magnons and spiky strings on the conifold
• Quantum Deformations from Toric Geometry
• Baryonic branches and resolutions of Ricci-flat Kahler cones
• The Geometry of On-Shell Diagrams
• E3-brane instantons and baryonic operators for D3-branes on toric singularities
• Invariants of Toric Seiberg Duality
• Mass-deformed Brane Tilings
• New 3d $\mathcal{N}=2$ SCFT's with $N^{3/2}$ scaling
• Scattering Amplitudes and Toric Geometry
• (Super)Yang-Mills at Finite Heavy-Quark Density
• Twisted $\mathcal{N}=1$ SCFTs and their AdS${}_3$ duals
• Wilson loops and the geometry of matrix models in AdS_4/CFT_3
• Dimer Models, Integrable Systems and Quantum Teichmuller Space
• N=1 Chern-Simons theories, orientifolds and Spin(7) cones
• Orientifolds of Warped Throats from Toric Calabi-Yau Singularities
• New Example of Infinite Family of Quiver Gauge Theories
• Wrapped Branes and Punctured Horizons
• Trivializing and Orbifolding the Conifold's Base
• Cascading Quivers from Decaying D-branes
• Cluster Transformations from Bipartite Field Theories
• Quiver Gauge Theory and Conformality at the TeV Scale
• Surface operators in the Klebanov-Witten theory
• Resolved Calabi-Yau Cones and Flows from L^{abc} Superconformal Field Theories
• Graded Quivers, Generalized Dimer Models and Toric Geometry
• On the pp-wave limit and the BMN structure of new Sasaki-Einstein spaces
• Near-flat space limit and Einstein manifolds
• Conformal S-dualities from O-planes
• Brane Geometry and Dimer Models
• Consistency and Derangements in Brane Tilings
• Brane Brick Models for the Sasaki-Einstein 7-Manifolds Y^{p,k}(CP^1 x CP^1) and Y^{p,k}(CP^2)
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• Free Yang-Mills vs. Toric Sasaki-Einstein
• Integrability on the Master Space
• Machine Learning Regularization for the Minimum Volume Formula of Toric Calabi-Yau 3-folds
• Metastable vacua and geometric deformations
• 5D N=1 super QFT: symplectic quivers
• c-extremization from toric geometry
• Brane Tilings and Non-Commutative Geometry
• Dimers, Orientifolds and Anomalies
• Calabi-Yau Products: Graded Quivers for General Toric Calabi-Yaus
• M-theory and Seven-Dimensional Inhomogeneous Sasaki-Einstein Manifolds
• Warped Resolved L^{a,b,c} Cones
• Emerging Non-Anomalous Baryonic Symmetries in the AdS_5/CFT_4 Correspondence
• Spin(7) duality for N=1 CS-matter theories
• $\mathcal{N}=1$ conformal dualities from unoriented chiral quivers
• On Exactly Marginal Deformations Dual to $B$-Field Moduli of IIB Theory on SE${}_5$
• Gravity duals for defect quivers in the Veneziano limit
• Mesonic Chiral Rings in Calabi-Yau Cones from Field Theory
• On spontaneous breaking of conformal symmetry by probe flavour D-branes
• Trivializing a Family of Sasaki-Einstein Spaces
• Probe D-branes in Superconformal Field Theories
• Which BPS Baryons Minimize Volume?
• Hilbert Series of Bipartite Field Theories