Loops in AdS: from the spectral representation to position space. Part II

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    Abstract

    We continue the study of AdS loop amplitudes in the spectral representation and in position space. We compute the finite coupling 4-point function in position space for the large-N conformal Gross Neveu model on AdS3. The resummation of loop bubble diagrams gives a result proportional to a tree-level contact diagram. We show that certain families of fermionic Witten diagrams can be easily computed from their companion scalar diagrams. Thus, many of the results and identities of [1] are extended to the case of external fermions. We derive a spectral representation for ladder diagrams in AdS. Finally, we compute various bulk 2-point correlators, extending the results of [1].

    Original languageEnglish
    Article number186
    JournalJournal of High Energy Physics
    Volume2021
    Issue number7
    DOIs
    StatePublished - Jul 2021

    Bibliographical note

    Publisher Copyright:
    © 2021, The Author(s).

    Keywords

    • Conformal Field Theory
    • Effective Field Theories

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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