N N = 1 superconformal blocks for general scalar operators

2014/04/21 by Zuhair U. Khandker, Daliang Li, David Poland +2 · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Dimension (graph theory) #Field (mathematics) #Mathematical physics #Mathematics #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #Scalar field #hep-th

paper · pdf · doi:10.1007/jhep08(2014)049

published as JHEP 1408 (2014) 049 · 30 pages

arxiv created 2014/04/21 · openalex publication_date 2014/08/01 · arxiv updated 2014/12/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We use supershadow methods to derive new expressions for superconformal blocks in 4d N = 1 superconformal field theories. We analyze the four-point function ⟨ A₁A₂^† B₁B₂^†⟩ , where A i and ℬ i are scalar superconformal primary operators with arbitrary dimension and R-charge and the exchanged operator is neutral under R-symmetry. Previously studied superconformal blocks for chiral operators and conserved currents are special cases of our general results.

Citations

• Bootstrapping the \cN=1 SCFT in three dimensions
• AdS/CFT in superspace
• On Four-Point Functions of Half-BPS Operators in General Dimensions
• On compactified harmonic/projective superspace, 5D superconformal theories, and all that
• Solving the 3d Ising Model with the Conformal Bootstrap II. c c -Minimization and Precise Critical Exponents
• Conformal Bootstrap in Three Dimensions?
• Bounds on 4D conformal and superconformal field theories
• Bounding scalar operator dimensions in 4D CFT
• Superembedding Formalism and Supertwistors

Cited by

• Bootstrapping mixed correlators in the 3D Ising model
• Bootstrapping N=3N=3 superconformal theories
• Two-point functions of conformal primary operators in N N = 1 superconformal theories
• Bootstrapping SCFTs with four supercharges
• Bootstrapping mixed correlators in 4D N N = 1 SCFTs
• Differential operators for superconformal correlation functions
• Bootstrapping Coulomb and Higgs branch operators
• Stress-tensor OPE in N = 2 N=2 superconformal theories

Related

• The Most General 4D N=1 Superconformal Blocks for Scalar Operators
• Bounds on 4D conformal and superconformal field theories
• Superconformal partial waves in Grassmannian field theories
• Superconformal Weight Shifting Operators
• Multiplets of Superconformal Symmetry in Diverse Dimensions