### Abstract

In this paper we study the four-point correlation function of the energy-momentum supermultiplet in theories with N=superconformal symmetry in four dimensions. We present a compact form of all component correlators as an invariant of a particular abelian subalgebra of the N=superconformal algebra. This invariant is unique up to a single function of the conformal cross-ratios which is fixed by comparison with the correlation function of the lowest half-BPS scalar operators. Our analysis is independent of the dynamics of a specific theory, in particular it is valid in N=super Yang-Mills theory for any value of the coupling constant. We discuss in great detail a subclass of component correlators, which is a crucial ingredient for the recent study of charge-flow correlations in conformal field theories. We compute the latter explicitly and elucidate the origin of the interesting relations among different types of flow correlations previously observed in arXiv:1309.1424.

Original language | English (US) |
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Pages (from-to) | 176-215 |

Number of pages | 40 |

Journal | Nuclear Physics B |

Volume | 904 |

DOIs | |

State | Published - Mar 1 2016 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*904*, 176-215. https://doi.org/10.1016/j.nuclphysb.2016.01.008