Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry

DOI10.1007/JHEP11(2019)164zbMATH Open1432.81059arXiv1908.02768MaRDI QIDQ2292556

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Publication date: 3 February 2020

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Abstract: For SCFTs with an $SU(2)$ R-symmetry, we determine the superconformal blocks that contribute to the four-point correlation function of a priori distinct half-BPS superconformal primaries as an expansion in terms of the relevant bosonic conformal blocks. This is achieved by using the superconformal Casimir equation and the superconformal Ward identity to fix the coefficients of the bosonic blocks uniquely in a dimension-independent way. In addition we find that many of the resulting coefficients are related through a web of linear transformations of the conformal data.

Full work available at URL: https://arxiv.org/abs/1908.02768

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