On the four-point function of the stress-energy tensors in a CFT

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33 Scopus citations

Abstract

Abstract: We discuss to what extent the full set of Ward Identities constrain the four-point function of the stress-energy tensors or conserved currents in a conformal field theory. We calculate the number of kinematically unrestricted functional degrees of freedom governing the corresponding correlators and find that it matches the number of functional degrees of freedom governing scattering amplitudes of some “dual” massless particles in the auxiliary Minkowski space. We also formulate the conformal bootstrap constraints for the correlators in question in terms of only unrestricted degrees of freedom. As a by-product we find interesting parallels between solving Ward Identities in coordinate and momentum space.

Original languageEnglish
Article number75
JournalJournal of High Energy Physics
Volume2015
Issue number10
DOIs
StatePublished - Oct 1 2015

Bibliographical note

Publisher Copyright:
© 2015, The Author(s).

Funding

FundersFunder number
European Commission
Seventh Framework Programme279617
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China1066293

    Keywords

    • Conformal Field Models in String Theory
    • Conformal and W Symmetry

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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