The Most General 4D N=1 Superconformal Blocks for Scalar Operators

2016/02/23 by Zhijin Li, Ning Su, Li, Zhijin +1
Mathematics · #Advanced Topics in Algebra #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1602.07097

openalex publication_date 2016/02/23 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We compute the most general superconformal blocks for scalar operators in 4D N=1 superconformal field theories. Specifically we employ the supershadow formalism to study the four-point correlator ⟨Φ₁ Φ₂ Φ₃ Φ₄⟩, in which the four scalars Φ_i have arbitrary scaling dimensions and R-charges with the only constraint from R-symmetry invariance of the four-point function. The exchanged operators can have arbitrary R-charges. Our results extend previous studies on 4D N=1 superconmformal blocks to the most general case, which are the essential ingredient for superconformal bootstrap, especially for bootstrapping mixed correlators of scalars with independent scaling dimensions and R-charges.

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