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arXiv · 1404.5300

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

Zuhair U. Khandker·Daliang Li·David Poland·David Simmons-Duffin
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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 $\langle\mathcal{A}_1 \mathcal{A}_2^\dagger \mathcal{B}_1 \mathcal{B}_2^\dagger\rangle$, 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.

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Zuhair U. Khandker, Daliang Li, David Poland, David Simmons-Duffin. 2014-04-21. $\mathcal{N}=1$ Superconformal Blocks for General Scalar Operators. https://doi.org/10.1007/jhep08(2014)049

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