2014

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

Khandker, Zuhair U., Li, Daliang, Poland, David et al.

Understand

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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Then

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2012
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2012
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2012
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2012
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P. Liendo, L. Rastelli, and B. C. van Rees, “The Bootstrap Program for Boundary C F T d CFT_{d} ,” JHEP
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2013
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A. L. Fitzpatrick, J. Kaplan, D. Poland, and D. Simmons-Duffin, “The Analytic Bootstrap and AdS Superhorizon Locality,” JHEP
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Z. Komargodski and A. Zhiboedov, “Convexity and Liberation at Large Spin,” JHEP
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2013
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C. Beem, L. Rastelli, and B. C. van Rees, “The N=4 Superconformal Bootstrap,” Phys.Rev.Lett
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2013
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F. Gliozzi, “More constraining conformal bootstrap,” Phys.Rev.Lett
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S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, “Conformal Field Theories in Fractional Dimensions,” Phys. Rev. Lett., to appear
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2013
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W. D. Goldberger, Z. U. Khandker, D. Li, and W. Skiba, “Superembedding Methods for Current Superfields,” Phys.Rev
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2013
Later among the works it cites.
D. Poland and D. Simmons-Duffin, “Bounds on 4D Conformal and Superconformal Field Theories,” JHEP
Original
2087
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