@article{f73713cf17e44965a206cd8ea947f530,
title = "Spinning AdS loop diagrams: two point functions",
abstract = "We develop a systematic approach to evaluating AdS loop amplitudes with spinning legs based on the spectral (or “split”) representation of bulk-to-bulk propagators, which re-expresses loop diagrams in terms of spectral integrals and higher-point tree diagrams. In this work we focus on 2pt one-loop Witten diagrams involving totally symmetric fields of arbitrary mass and integer spin. As an application of this framework, we study the contribution to the anomalous dimension of higher-spin currents generated by bubble diagrams in higher-spin gauge theories on AdS.",
keywords = "1/N Expansion, AdS-CFT Correspondence, Conformal Field Theory, Higher Spin Gravity",
author = "Simone Giombi and Charlotte Sleight and Massimo Taronna",
note = "Funding Information: C. S. and M. T. thank Massimo Bianchi for useful discussions and the University of Rome Tor Vergata for the warm hospitality. We also thank Andres Collinucci for much appreciated technical support and Dean Carmi, Lorenzo Di Pietro and Shota Komatsu for discussions. The research of M. T. is partially supported by the Fund for Scientific Research-FNRS Belgium, grant FC 6369, the Russian Science Foundation grant 14-42-00047 in association with Lebedev Physical Institute and by the INFN within the program “New Developments in AdS3/CFT2 Holography”. The research of C. S. was partially supported by the INFN and ACRI{\textquoteright}s (Associazione di Fondazioni e di Casse di Risparmio S.p.a.) Young Investigator Training Program, as part of the Galileo Galilei Institute for Theoretical Physics (GGI) workshop “New Developments in AdS3/CFT2 Holography”. The work of S.G. was supported in part by the US NSF under Grant No. PHY-1620542. Publisher Copyright: {\textcopyright} 2018, The Author(s).",
year = "2018",
month = jun,
day = "1",
doi = "10.1007/JHEP06(2018)030",
language = "English (US)",
volume = "2018",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "6",
}