OPE coefficients in Argyres-Douglas theories

Abstract

The calculation of physical quantities in certain quantum field theories such as those of the Argyres-Douglas type is notoriously hard, due to the lack of a Lagrangian description. Here we tackle this problem following two alternative approaches. On the one hand, we use localization on the four-sphere to compute two-correlators and OPE coefficients in Argyres-Douglas superconformal theories. On the other hand, we use the conformal bootstrap machinery to put stringent bounds on such coefficients, only relying on the knowledge of central charge and conformal dimension of the operators. We compare the results obtained with these two methods and find good agreement for all rank-one cases and for the rank-two Argyres-Douglas theories (A_1,A_4) and (A_1,A_5), in the moduli space of pure SU(5) and SU(6) super Yang-Mills. We also apply our results from localization to obtain bounds on the dimensions of the lightest neutral unprotected operators of the CFTs.

arXiv commentCorrected typos and added references

References in corpus (57)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Bounding scalar operator dimensions in 4D CFT
• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• New Phenomena in SU(3) Supersymmetric Gauge Theory
• New N=2 Superconformal Field Theories in Four Dimensions
• Bootstrapping the O(N) Vector Models
• Bootstrapping Mixed Correlators in the 3D Ising Model
• Carving Out the Space of 4D CFTs
• Superconformal Fixed Points with E_n Global Symmetry
• Multi-Instanton Calculus and Equivariant Cohomology
• An Algorithm for the Microscopic Evaluation of the Coefficients of the Seiberg-Witten Prepotential
• General Argyres-Douglas Theory
• Study of $N=2$ Superconformal Field Theories in $4$ Dimensions
• Schur Indices, BPS Particles, and Argyres-Douglas Theories
• Central charges of N=2 superconformal field theories in four dimensions
• Correlation Functions of Coulomb Branch Operators
• 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
• Wild Quiver Gauge Theories
• On the uniqueness of higher-spin symmetries in AdS and CFT
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• Recursion Relations for Conformal Blocks
• Bootstrapping $\mathcal{N}=2$ chiral correlators
• More on the N=2 superconformal systems of type $D_p(G)$
• Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories
• $t{t}^{\ast }$ equations, localization and exact chiral rings in 4d N=2 SCFTs
• Infinitely many N=2 SCFT with ADE flavor symmetry
• Covariant Approaches to Superconformal Blocks
• On exact correlation functions in SU(N) $\mathcal{N}=2$ superconformal QCD
• Exact correlation functions in SU(2) N=2 superconformal QCD
• On the Large $R$-charge Expansion in $\mathcal{N}=2$ Superconformal Field Theories
• Two-point Correlators in N=2 Gauge Theories
• Operator Mixing in Large $N$ Superconformal Field Theories on ${\mathbb{S}}^4$ and Correlators with Wilson loops
• Deformed N=2 theories, generalized recursion relations and S-duality
• Universal correlation functions in rank 1 SCFTs
• Large N Correlation Functions in Superconformal Field Theories
• The M-theory Archipelago
• N=2 Conformal SYM theories at large N
• Large-N correlation functions in $\mathcal{N}=2$ superconformal QCD
• Extremal Correlators and Random Matrix Theory
• RG flows with supersymmetry enhancement and geometric engineering
• Exact results in a N=2 superconformal gauge theory at strong coupling
• Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory
• $\mathcal{N}=2$ conformal gauge theories at large R-charge: the $SU(N)$ case
• N=2 gauge theories and quantum phases
• Two-point correlators in non-conformal $\mathcal{N}=2$ gauge theories
• Vanishing OPE Coefficients in 4d N=2 SCFTs
• S-duality and correlation functions at large R-charge
• Effective gravitational couplings of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories
• Bootstrapping Coulomb and Higgs branch operators
• Exact results in N=2 gauge theories
• On Explicit Evaluations Around the Conformal Point in N=2 Supersymmetric Yang-Mills Theories
• Bootstrapping mixed correlators in $\mathcal{N}=4$ Super Yang-Mills
• Properties of the partition function of $\mathcal{N}=2$ supersymmetric QCD with massive matter

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• Partition functions of non-Lagrangian theories from the holomorphic anomaly
• On the Protected Spectrum of the Minimal Argyres-Douglas Theory