N=4 superconformal Ward identities for correlation functions
Abstract
In this paper we study the four-point correlation function of the energy-momentum supermultiplet in theories with N=4 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=4 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=4 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.
Cite
@article{arxiv.1409.2502,
title = {N=4 superconformal Ward identities for correlation functions},
author = {A. V. Belitsky and S. Hohenegger and G. P. Korchemsky and E. Sokatchev},
journal= {arXiv preprint arXiv:1409.2502},
year = {2014}
}
Comments
41 pages