On the Weyl anomaly of 4D conformal higher spins: a holographic approach

S. Acevedo, R. Aros, F. Bugini, D. E. Diaz

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We present a first attempt to derive the full (type-A and type-B) Weyl anomaly of four dimensional conformal higher spin (CHS) fields in a holographic way. We obtain the type-A and type-B Weyl anomaly coefficients for the whole family of 4D CHS fields from the one-loop effective action for massless higher spin (MHS) Fronsdal fields evaluated on a 5D bulk Poincaré-Einstein metric with an Einstein metric on its conformal boundary. To gain access to the type-B anomaly coefficient we assume, for practical reasons, a Lichnerowicz-type coupling of the bulk Fronsdal fields with the bulk background Weyl tensor. Remarkably enough, our holographic findings under this simplifying assumption are certainly not unknown: they match the results previously found on the boundary counterpart under the assumption of factorization of the CHS higher-derivative kinetic operator into Laplacians of “partially massless” higher spins on Einstein backgrounds.

Original languageEnglish
Article number82
JournalJournal of High Energy Physics
Volume2017
Issue number11
DOIs
Publication statusPublished - 1 Nov 2017

Keywords

  • AdS-CFT Correspondence
  • Anomalies in Field and String Theories
  • Higher Spin Gravity

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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