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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

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.

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    Title
    • N = 4 Superconformal Ward Identities for Correlation Functions
    Contributors
    Date Created
    2016-01-07
    Resource Type
  • Text
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    Identifier
    • Digital object identifier: 10.1016/j.nuclphysb.2016.01.008
    • Identifier Type
      International standard serial number
      Identifier Value
      0550-3213
    • Identifier Type
      International standard serial number
      Identifier Value
      1873-1562
    Note
    • The final version of this article, as published in Nuclear Physics B, can be viewed online at: http://www.sciencedirect.com/science/article/pii/S0550321316000092?via%3Dihub

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    Belitsky, A., Hohenegger, S., Korchemsky, G., & Sokatchev, E. (2016). N=4superconformal Ward identities for correlation functions. Nuclear Physics B, 904, 176-215. doi:10.1016/j.nuclphysb.2016.01.008

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