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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