Bootstrapping $\mathcal{N}=2$ chiral correlators

Abstract

We apply the numerical bootstrap program to chiral operators in four-dimensional $\mathcal{N}=2$ SCFTs. In the first part of this work we study four-point functions in which all fields have the same conformal dimension. We give special emphasis to bootstrapping a specific theory: the simplest Argyres-Douglas fixed point with no flavor symmetry. In the second part we generalize our setup and consider correlators of fields with unequal dimension. This is an example of a mixed correlator and allows us to probe new regions in the parameter space of $\mathcal{N}=2$ SCFTs. In particular, our results put constraints on relations in the Coulomb branch chiral ring and on the curvature of the Zamolodchikov metric.

35 pages (26 pages plus three appendices), 13 figures; v2: minor typos corrected, citations added

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Cited by in corpus (72)

• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Precision Islands in the Ising and $O(N)$ Models
• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• A Mellin space approach to the conformal bootstrap
• Carving out OPE space and precise $O(2)$ model critical exponents
• Correlation Functions of Coulomb Branch Operators
• Conformal Bootstrap Dashing Hopes of Emergent Symmetry
• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• The 3d Stress-Tensor Bootstrap
• Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
• Conformal Collider Physics from the Lightcone Bootstrap
• Projectors and seed conformal blocks for traceless mixed-symmetry tensors
• Bootstrapping $\mathcal{N}=3$ superconformal theories
• Radial expansion for spinning conformal blocks
• Solving M-theory with the Conformal Bootstrap
• 4d $\mathcal{N}$=2 theories with disconnected gauge groups
• Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
• Mellin space bootstrap for global symmetry
• PyCFTBoot: A flexible interface for the conformal bootstrap
• Harmony of Spinning Conformal Blocks
• Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
• Bootstrapping the long-range Ising model in three dimensions
• Bootstrapping Mixed Correlators in the Five Dimensional Critical O(N) Models
• Casimir recursion relations for general conformal blocks
• $\mathcal{N}=2$ central charge bounds from $2d$ chiral algebras
• The M-theory Archipelago
• (2,2) Superconformal Bootstrap in Two Dimensions
• Non-Abelian Binding Energies from the Lightcone Bootstrap
• Macdonald Index and Chiral Algebra
• Extremal Correlators and Random Matrix Theory
• Scalar CFTs and Their Large N Limits
• Bootstrapping line defects with $O(2)$ global symmetry
• Gauge theories from principally extended disconnected gauge groups
• Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
• Long Multiplet Bootstrap
• Bootstrapping the Spectral Function: On the Uniqueness of Liouville and the Universality of BTZ
• Fermion-Scalar Conformal Blocks
• More on analytic bootstrap for O(N) models
• Scaling the semidefinite program solver SDPB
• Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory
• Bootstrapping line defects in $\mathcal{N}=2$ theories
• N=4 Superconformal Bootstrap of the K3 CFT
• New Methods for Conformal Correlation Functions
• Geometric constraints on the space of N=2 SCFTs II: Construction of special Kähler geometries and RG flows
• Inverse Bootstrapping Conformal Field Theories
• Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD
• Schur sector of Argyres-Douglas theory and $W$-algebra
• Superconformal Blocks for SCFTs with Eight Supercharges
• The 3d $\mathcal{N}=6$ Bootstrap: From Higher Spins to Strings to Membranes
• Towards a Bootstrap approach to higher orders of epsilon expansion
• Vanishing OPE Coefficients in 4d N=2 SCFTs
• Charting the space of 3D CFTs with a continuous global symmetry
• New method for the conformal bootstrap with OPE truncations
• Superconformal Blocks: General Theory
• Mixed OPEs in $\mathcal{N}=2$ Superconformal Theories
• Quantum Integrable Systems from Conformal Blocks
• Superconformal Blocks for Mixed 1/2-BPS Correlators with $SU(2)$ R-symmetry
• Differential operators for superconformal correlation functions
• Bootstrapping Coulomb and Higgs branch operators
• An Automated Generation of Bootstrap Equations for Numerical Study of Critical Phenomena
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Expanding the landscape of $\mathcal{N}$=2 rank 1 SCFTs
• OPE coefficients in Argyres-Douglas theories
• Bootstrapping (D, D) Conformal Matter
• W algebra, Cosets and VOA for 4d N = 2 SCFT from M5 branes
• Towards general super Casimir equations for $4D$ $\mathcal{N}=1$ SCFTs
• autoboot: A generator of bootstrap equations with global symmetry
• Crossing Symmetry for Long Multiplets in 4D $\mathcal{N}=1$ SCFTs
• Harmonic Analysis in d-dimensional Superconformal Field Theory
• 4d $\mathcal{N}=2$ SCFTs and lisse W-algebras
• Vanishing short multiplets in rank one 4d/5d SCFTs
• Analytic Studies of Fermions in the Conformal Bootstrap