Superconformal Blocks for Mixed 1/2-BPS Correlators with $SU(2)$ R-symmetry
High Energy Physics - Theory
2020-02-05 v2
Abstract
For SCFTs with an 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.
Cite
@article{arxiv.1908.02768,
title = {Superconformal Blocks for Mixed 1/2-BPS Correlators with $SU(2)$ R-symmetry},
author = {Florent Baume and Michael Fuchs and Craig Lawrie},
journal= {arXiv preprint arXiv:1908.02768},
year = {2020}
}
Comments
42 pages, ancillary Mathematica notebook listing all block coefficients; minor corrections, published version