A holographic computation of the central charges of d=4, N=2 SCFTs

Abstract

We use the AdS/CFT correspondence to compute the central charges of the d=4, N=2 superconformal field theories arising from N D3-branes at singularities in F-theory. These include the conformal theories with E_n global symmetries. We compute the central charges a and c related to the conformal anomaly, and also the central charges k associated to the global symmetry in these theories. All of these are related to the coefficients of Chern-Simons terms in the dual string theory on AdS_5. Our computation is exact for all values of N, enabling several tests of the dualities recently proposed by Argyres and Seiberg for the E_6 and E_7 theories with N=1.

arXiv comment16 pages; v4: one reference added

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Cited by in corpus (82)

• Infinite Chiral Symmetry in Four Dimensions
• Beyond eta/s = 1/4pi
• Webs of five-branes and N=2 superconformal field theories
• General Argyres-Douglas Theory
• Tinkertoys for Gaiotto Duality
• Schur Indices, BPS Particles, and Argyres-Douglas Theories
• N=1 Deformations and RG Flows of N=2 SCFTs
• The $\mathcal{N}=2$ superconformal bootstrap
• Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index
• On the Superconformal Index of Argyres-Douglas Theories
• The gravity duals of N=2 superconformal field theories
• Wild Quiver Gauge Theories
• Universal holographic hydrodynamics at finite coupling
• S-folds and 4d N=3 superconformal field theories
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• The Superconformal Index of the E_6 SCFT
• Bootstrapping $\mathcal{N}=2$ chiral correlators
• Top Down Approach to 6D SCFTs
• Exceptional Indices
• Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories
• Stress-tensor OPE in N=2 Superconformal Theories
• Gluon Scattering in AdS from CFT
• Anomaly polynomial of E-string theories
• F-theory and AdS_3/CFT_2
• Central charges and RG flow of strongly-coupled N=2 theory
• The Point of E_8 in F-theory GUTs
• Argyres-Seiberg duality and the Higgs branch
• Conformal Manifolds in Four Dimensions and Chiral Algebras
• $\mathcal{N}=2$ central charge bounds from $2d$ chiral algebras
• Comments on scaling limits of 4d N=2 theories
• Argyres-Douglas Theories and S-Duality
• F-theory and AdS_3/CFT_2 (2,0)
• 4d $\mathcal{N}=2$ S-folds
• On Exceptional Instanton Strings
• N = 1 SCFTs from Brane Monodromy
• Higher-Derivative Corrections and AdS${}_5$ Black Holes
• AdS${}_7$/CFT${}_6$ with orientifolds
• An Exceptional Sector for F-theory GUTs
• One-loop Gluon Amplitudes in AdS
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Anomaly matching on the Higgs branch
• N=1 conformal dualities
• A "Lagrangian" for the E7 Superconformal Theory
• Conformal anomaly c-coefficients of superconformal 6d theories
• New N=2 superconformal field theories from S-folds
• The Heavy Quark Potential as a Function of Shear Viscosity at Strong Coupling
• From 6D SCFTs to Dynamic GLSMs
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges
• VOAs and rank-two instanton SCFTs
• $C_T$ for higher derivative conformal fields and anomalies of (1,0) superconformal 6d theories
• A counterexample to the a-'theorem'
• On the chiral algebra of Argyres-Douglas theories and S-duality
• An N=1 Lagrangian for the rank 1 E6 superconformal theory
• The Chiral Heat Effect
• Vanishing OPE Coefficients in 4d N=2 SCFTs
• The Conformal Sector of F-theory GUTs
• Minimal Distances Between SCFTs
• Argyres-Douglas matter and N=2 dualities
• Probing 7-branes on Orbifolds
• A Small Deformation of a Simple Theory
• The BPS spectrum of the 4d N=2 SCFT's H_1, H_2, D_4, E_6, E_7, E_8
• The Higgs as a Probe of Supersymmetric Extra Sectors
• Computing 1/N^2 corrections in AdS/CFT
• Kinetic Mixing at Strong Coupling
• Bootstrapping Coulomb and Higgs branch operators
• Holographic RG Flows for Four-dimensional $\mathcal{N}=2$ SCFTs
• Higher derivative corrections to the entropic force from holography
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• BPS states in the Minahan-Nemeschansky E6 theory
• $\mathcal{N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• Seiberg-Witten for $Spin(n)$ with Spinors
• The Partition Function Of Argyres-Douglas Theory On A Four-Manifold
• Nilpotent Networks and 4D RG Flows
• On the BPS Spectrum of the Rank-1 Minahan-Nemeschansky Theories
• Holographic S-fold theories at one loop
• Confinement and duality in supersymmetric gauge theories
• Lectures on 4d N=1 dynamics and related topics
• Inozemtsev System as Seiberg-Witten Integrable system
• Four-dimensional $\mathcal{N}=1$ SCFTs on S-folds with T-branes and AdS/CFT correspondence
• Holographic origin of $a$-maximization and higher-derivative AdS${}_5$/CFT${}_4$