On the Superconformal Index of N=1 IR Fixed Points: A Holographic Check

Abstract

We evaluate the superconformal index of the Y^{p,q} quiver gauge theories using Romeslberger's prescription. For the conifold quiver Y^{1,0} we find exact agreement at large N with a previous calculation in the dual AdS_5 X T^{1,1} supergravity.

arXiv comment26 pages, 7 figures

References in corpus (43)

• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• An Index for 4 dimensional Super Conformal Theories
• The Exact Superconformal R-Symmetry Maximizes a
• Counting chiral primaries in N=1 d=4 superconformal field theories
• D-Brane Gauge Theories from Toric Singularities and Toric Duality
• An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
• Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
• Counting Gauge Invariants: the Plethystic Program
• On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
• S-duality in N=2 supersymmetric gauge theories
• Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
• Einstein manifolds and conformal field theories
• New Einstein-Sasaki Spaces in Five and Higher Dimensions
• S-duality and 2d Topological QFT
• A Geometric Unification of Dualities
• Toric Duality as Seiberg Duality and Brane Diamonds
• Toric Duality Is Seiberg Duality
• Spectrum of Type IIB Supergravity on AdS_5 x T^{11}: Predictions on N = 1 SCFT's
• Sicilian gauge theories and N=1 dualities
• Phase Structure of D-brane Gauge Theories and Toric Duality
• Symmetries of Toric Duality
• A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
• New checks and subtleties for AdS/CFT and a-maximization
• Essays on the theory of elliptic hypergeometric functions
• Brane Tilings and Their Applications
• The Superconformal Index of the E_6 SCFT
• Geometry of N=1 Dualities in Four Dimensions
• Superconformal indices for N=1 theories with multiple duals
• Calculating the Superconformal Index and Seiberg Duality
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Perturbative Gauge Theory and Closed String Tachyons
• KK Spectroscopy of Type IIB Supergravity on AdS_5 x T^{11}
• Index for Orbifold Quiver Gauge Theories
• Duality Walls, Duality Trees and Fractional Branes
• Scalar Laplacian on Sasaki-Einstein Manifolds Y^{p,q}
• 27/32
• Toric Sasaki-Einstein manifolds and Heun equations
• N=4 SYM on R x S^3 and Theories with 16 Supercharges
• On the ISS model of dynamical SUSY breaking
• Index for Supergravity on AdS_5 \times T^{1,1} and Conifold Gauge Theory
• Supersymmetric dualities beyond the conformal window
• Two loop partition function for large N pure Yang-Mills theory on a small three-sphere
• The 2-loop partition function of large N gauge theories with adjoint matter on S^3

Cited by in corpus (63)

• Rigid Supersymmetric Theories in Curved Superspace
• Gauge Theories and Macdonald Polynomials
• 3d dualities from 4d dualities
• Bootstrapping the superconformal index with surface defects
• M5-branes from gauge theories on the 5-sphere
• 2d Index and Surface operators
• Localization on Hopf surfaces
• N=1 Deformations and RG Flows of N=2 SCFTs
• Knot Homology from Refined Chern-Simons Theory
• The gravity dual of supersymmetric gauge theories on a squashed three-sphere
• Relation between the 4d superconformal index and the S^3 partition function
• Superconformal indices of three-dimensional theories related by mirror symmetry
• A 4d N=1 Cardy Formula
• M5-branes, toric diagrams and gauge theory duality
• Bounds on $\mathcal{N}=1$ Superconformal Theories with Global Symmetries
• The superconformal index of N=1 class S fixed points
• High-temperature asymptotics of supersymmetric partition functions
• The supersymmetric index in four dimensions
• Line Operator Index on S1 $\times$ S3
• Global Properties of Supersymmetric Theories and the Lens Space
• Quivers, YBE and 3-manifolds
• High-Temperature Expansion of Supersymmetric Partition Functions
• On Exceptional Instanton Strings
• Black hole entropy function for toric theories via Bethe Ansatz
• The gravity dual of supersymmetric gauge theories on a squashed $S^1\times S^3$
• Emergent 3-manifolds from 4d Superconformal Indices
• 1/N^2 corrections to the holographic Weyl anomaly
• Landscape of Simple Superconformal Field Theories in 4d
• Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index
• $c-a$ from the $N=1$ superconformal index
• New N=1 dualities from orientifold transitions - Part II: String Theory
• New N=1 dualities from orientifold transitions - Part I: Field Theory
• Central charges from the $\mathcal{N}=1$ superconformal index
• An N=1 Lagrangian for an N=3 SCFT
• Heterotic Surface Defects and Dualities from 2d/4d Indices
• Superconformal index for large N quiver Chern-Simons theories
• Finite $N$ corrections to the superconformal index of orbifold quiver gauge theories
• Infrared enhancement of supersymmetry in four dimensions
• Kaluza-Klein Spectroscopy for the Leigh-Strassler SCFT
• 4D and 2D superconformal index with surface operator
• Holomorphic field theories and Calabi--Yau algebras
• Charging the Superconformal Index
• The Coulomb and Higgs Branches of $\mathcal{N}=1$ Theories of Class ${\mathcal{S}}_k$
• The shortened KK spectrum of IIB supergravity on Y^{p,q}
• Elliptic modular double and 4d partition functions
• Conformal S-dualities from O-planes
• The Romelsberger Index, Berkooz Deconfinement, and Infinite Families of Seiberg Duals
• A Nilpotency Index of Conformal Manifolds
• Superconformal Indices, Sasaki-Einstein Manifolds, and Cyclic Homologies
• The large-$N$ limit of 4d superconformal indices for general BPS charges
• High-temperature asymptotics of the 4d superconformal index
• Superconformal Quantum Mechanics on Kähler Cones
• Index for Three Dimensional Superconformal Field Theories and Its Applications
• Kutasov-Seiberg dualities and cyclotomic polynomials
• Constraints on the R-charges of Free Bound States from the Römelsberger Index
• The Giant Graviton Expansion
• From $\beta$ to $\eta$: a new cohomology for deformed Sasaki-Einstein manifolds
• 4d $\mathcal{N}=1$ quiver gauge theories and the ${\mathrm{A}}_{\mathrm{n}}$ Bailey lemma
• On the Scalar Spectrum of the Y^{p,q} Manifolds
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
• A study of N =1 SCFT derived from N =2 SCFT: index and chiral ring
• On holographic duals of certain isolated weighted Gorenstein cDV singularities
• Holographic spectral functions for Sasaki-Einstein 5-manifolds