On the Weyl anomaly of 4D conformal higher spins: a holographic approach
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Fecha
2017-11
Autores
Profesor/a Guía
Facultad/escuela
Idioma
en
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Editor
Journal of High Energy Physics
Nombre de Curso
Licencia CC
Attribution 4.0 International (CC BY 4.0)
Licencia CC
https://creativecommons.org/licenses/by/4.0/
Resumen
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. © 2017, The Author(s).
Notas
Indexación: Scopus
Palabras clave
AdS-CFT Correspondence, Anomalies in Field and String Theories, Higher Spin Gravity
Citación
Journal of High Energy Physics Volume 2017, Issue 111 November 2017 Article number 82
DOI
10.1007/JHEP11(2017)082