N=superconformal Ward identities for correlation functions

Andrei Belitsky, S. Hohenegger, G. P. Korchemsky, E. Sokatchev

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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 languageEnglish (US)
Pages (from-to)176-215
Number of pages40
JournalNuclear Physics B
Volume904
DOIs
StatePublished - Mar 1 2016

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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