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

• Main Author: Dean Carmi
• Format: Article
• Language: English
• Published: SpringerOpen 2021-07-01
• Series: Journal of High Energy Physics
• Subjects: Conformal Field Theory; Effective Field Theories
• Online Access: https://doi.org/10.1007/JHEP07(2021)186

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 AdS 3. 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].