$\mathcal{N}=1$ Superconformal Blocks for General Scalar Operators

Abstract

We use supershadow methods to derive new expressions for superconformal blocks in 4d $\mathcal{N}=1$ superconformal field theories. We analyze the four-point function $⟨{\mathcal{A}}_1{\mathcal{A}}_2^{†}{\mathcal{B}}_1{\mathcal{B}}_2^{†}⟩$, where ${\mathcal{A}}_i$ and ${\mathcal{B}}_i$ 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.

30 pages

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