A Caltech Library Service

Partial masslessness and conformal gravity

Deser, S. and Joung, E. and Waldron, A. (2013) Partial masslessness and conformal gravity. Journal of Physics A: Mathematical and Theoretical, 46 (21). Art. No. 214019. ISSN 1751-8113. doi:10.1088/1751-8113/46/21/214019.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We use conformal, but ghostful, Weyl gravity to study its ghost-free, second derivative, partially massless (PM) spin-2 component in the presence of Einstein gravity with positive cosmological constant. Specifically, we consider both gravitational- and self-interactions of PM via the fully nonlinear factorization of conformal gravity's Bach tensor into Einstein times Schouten operators. We find that extending PM beyond linear order suffers from familiar higher spin consistency obstructions: it propagates only in Einstein backgrounds, and the conformal gravity route generates only the usual safe, Noether, cubic order vertices.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Deser, S.0000-0001-9285-9434
Additional Information:© 2013 Institute of Physics Publishing Ltd. Received 15 October 2012. Published 14 May 2013. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Higher spin theories and holography’. We thank Hamid Afshar, Rod Gover, Daniel Grumiller and Karapet Mkrtchyan for fruitful discussions. EJ and AW acknowledge the ESI Vienna Workshop on Higher Spin Gravity. SD was supported in part by NSF PHY-1064302 and DOE DE-FG02-164 92ER40701 grants. The work of EJ was supported in part by Scuola Normale Superiore, by INFN (I.S. TV12) and by the MIUR-PRIN contract 2009-KHZKRX.
Group:Caltech Theory
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-16492ER40701
Scuola Normale SuperioreUNSPECIFIED
Istituto Nazionale di Fisica Nucleare (INFN)I.S. TV12
Ministero dell'Istruzione, dell'Universita e della Ricerca (MIUR)2009-KHZKRX
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Issue or Number:21
Classification Code:PACS: 04.62.+v, 04.50.−h, 04.50.Kd, 04.62.+v, 02.40.−k, 9080.Cq, 95.30.Sf, 04.20.-q. MSC: 34B20, 83C05, 83F05
Record Number:CaltechAUTHORS:20130621-105437857
Persistent URL:
Official Citation:Partial masslessness and conformal gravity S Deser, E Joung and A Waldron doi:10.1088/1751-8113/46/21/214019
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39024
Deposited By: Ruth Sustaita
Deposited On:21 Jun 2013 18:11
Last Modified:12 Jul 2022 19:47

Repository Staff Only: item control page