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

3 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

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anomalies
coefficients
factorization
tensors
operators
kinetics

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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On the Weyl anomaly of 4D conformal higher spins : a holographic approach. / Acevedo, S.; Aros, R.; Bugini, F.; Diaz, D. E.

In: Journal of High Energy Physics, Vol. 2017, No. 11, 82, 01.11.2017.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On the Weyl anomaly of 4D conformal higher spins

T2 - a holographic approach

AU - Acevedo, S.

AU - Aros, R.

AU - Bugini, F.

AU - Diaz, D. E.

PY - 2017/11/1

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AB - 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.

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