Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published July 30, 2001 | Submitted
Journal Article Open

Partial masslessness of higher spins in (A)dS

Abstract

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.

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.

Attached Files

Submitted - 0103198v2.pdf

Files

0103198v2.pdf
Files (314.1 kB)
Name Size Download all
md5:c6e64454acd75037128cd6a036f66a43
314.1 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 23, 2023