Superconformal blocks for stress-tensor and chiral operators for 4D $\mathcal{N}=2$ superconformal field theories

Abstract

We have computed superconformal partial wave for the mixed correlators involving $J$, $\varphi$ and ${\varphi }^{†}$, where $J$ is the superconformal primary of 4D $\mathcal{N}=2$ stress-tensor multiplet, $\varphi$ and ${\varphi }^{†}$ are chiral and anti-chiral scalars respectively in the channel $⟨JJ\varphi {\varphi }^{†}⟩$. We have used the superembedding formalism and computed conformal partial wave corresponding to the exchange of long multiplet using the supershadow approach. This study provides part of the ingredients necessary for the study of conformal bootstrap for mixed correlator in 4D $\mathcal{N}=2$ superconformal field theories.

arXiv comment34 pages, revised version

References in corpus (49)

• N=2 dualities
• Bounding scalar operator dimensions in 4D CFT
• An Index for 4 dimensional Super Conformal Theories
• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Solving the 3D Ising Model with the Conformal Bootstrap
• Conformal Four Point Functions and the Operator Product Expansion
• Conformal Partial Waves and the Operator Product Expansion
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Projectors, Shadows, and Conformal Blocks
• On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
• Bounds on 4D Conformal and Superconformal Field Theories
• The N=4 Superconformal Bootstrap
• Superconformal Symmetry, Correlation Functions and the Operator Product Expansion
• The $(2,0)$ superconformal bootstrap
• Universal Constraints on Conformal Operator Dimensions
• Superconformal Ward Identities and their Solution
• Sphere Partition Functions and the Zamolodchikov Metric
• Correlation Functions of Conserved Currents in N = 2 Superconformal Theory
• The $\mathcal{N}=2$ superconformal bootstrap
• On Four-Point Functions of Half-BPS Operators in General Dimensions
• Bootstrapping SCFTs with Four Supercharges
• The 3d Stress-Tensor Bootstrap
• Conformal Partial Wave Expansions for N=4 Chiral Four Point Functions
• Stress-tensor OPE in N=2 Superconformal Theories
• Bounds on $\mathcal{N}=1$ Superconformal Theories with Global Symmetries
• Superconformal Symmetry and Correlation Functions
• Holography for $\mathcal{N}=2^{\ast }$ on $S^4$
• More $\mathcal{N}=4$ superconformal bootstrap
• Constraining conformal field theories with a higher spin symmetry in d> 3 dimensions
• On Non-renormalization and OPE in Superconformal Field Theories
• $\mathcal{N}=1$ Superconformal Blocks for General Scalar Operators
• N=1 Superconformal Symmetry in Four Dimensions
• Constraints on Chiral Operators in N=2 SCFTs
• $\mathcal{N}=2$ central charge bounds from $2d$ chiral algebras
• Search for t t-bar resonances in highly boosted lepton+jets and fully hadronic final states in proton-proton collisions at sqrt(s) = 13 TeV
• Superembedding methods for 4d N=1 SCFTs
• 3D CFT Archipelago from Single Correlator Bootstrap
• Superembedding Methods for Current Superfields
• Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory
• QCD $\theta$-vacuum energy and axion properties
• Lifshitz Holography with Isotropic Scale Invariance
• Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD
• Superembedding methods for 4d N-extended SCFTs
• Differential operators for superconformal correlation functions
• Bootstrapping Coulomb and Higgs branch operators
• Supertwistor realisations of AdS superspaces
• Non-Local Gravity from Hamiltonian Point of View
• On conserved charges and thermodynamics of the AdS${}_4$ dyonic black hole
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ superconformal field theory