A Caltech Library Service

Partial masslessness of higher spins in (A)dS

Deser, S. and Waldron, A. (2001) Partial masslessness of higher spins in (A)dS. Nuclear Physics B, 607 (3). pp. 577-604. ISSN 0550-3213. doi:10.1016/S0550-3213(01)00212-7.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


Massive spin s ⩾ 3/2 fields can become partially massless in cosmological backgrounds. In the plane spanned by m² and Λ, there are lines where new gauge invariances permit intermediate sets of higher helicities, rather than the usual flat space extremes of all 2s + 1 massive or just 2 massless helicities. These gauge lines divide the (m²,Λ) plane into unitarily allowed or forbidden intermediate regions where all 2s + 1 massive helicities propagate but lower helicity states can have negative norms. We derive these consequences for s = 3/2,2 by studying both their canonical (anti)commutators and the transmutation of massive constraints to partially massless Bianchi identities. For s = 2, a Hamiltonian analysis exhibits the absence of zero helicity modes in the partially massless sector. For s =5/2,3 we derive Bianchi identities and their accompanying gauge invariances for the various partially massless theories with propagating helicities (±5/2,±3/2) and (±3,±2), (±3,±2,±1), respectively. Of these, only the s = 3 models are unitary. To these ends, we also provide the half integer generalization of the integer spin wave operators of Lichnerowicz. Partial masslessness applies to all higher spins in (A)dS as seen by their degree of freedom counts. Finally a derivation of massive d = 4 constraints by dimensional reduction from their d = 5 massless Bianchi identity ancestors is given.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Deser, S.0000-0001-9285-9434
Additional Information:© 2001 Elsevier. Received 22 March 2001, Accepted 24 April 2001, Available online 16 July 2001. This work was supported by the National Science Foundation under grant PHY99-73935.
Funding AgencyGrant Number
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Issue or Number:3
Classification Code:PACS 03.65.Pm; 03.70.+k; 04.62.+v; 04.65.+e
Record Number:CaltechAUTHORS:20161216-094037789
Persistent URL:
Official Citation:S. Deser, A. Waldron, Partial masslessness of higher spins in (A)dS, Nuclear Physics B, Volume 607, Issue 3, 30 July 2001, Pages 577-604, ISSN 0550-3213, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72896
Deposited By: George Porter
Deposited On:16 Dec 2016 22:54
Last Modified:11 Nov 2021 05:08

Repository Staff Only: item control page