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Non-linear partially massless symmetry in an SO(1,5) continuation of conformal gravity
Stockholm University, Faculty of Science, Department of Physics. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC).
Stockholm University, Faculty of Science, Department of Physics. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC).
Number of Authors: 2
2017 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 34, no 10, 105005Article in journal (Refereed) Published
Abstract [en]

We construct a non-linear theory of interacting spin-2 fields that is invariant under the partially massless (PM) symmetry to all orders. This theory is based on the SO(1, 5) group, in analogy with the SO(2, 4) formulation of conformal gravity, but has a quadratic spectrum free of ghost instabilities. The action contains a vector field associated with a local SO(2) symmetry which is manifest in the vielbein formulation of the theory. We show that, in a perturbative expansion, the SO(2) symmetry transmutes into the PM transformations of a massive spin-2 field. In this context, the vector field is crucial to circumvent earlier obstructions to an order-by-order construction of PM symmetry. Although the non-linear theory lacks enough first class constraints to remove all helicity-0 modes from the spectrum, the PM transformations survive to all orders. The absence of ghosts and strong coupling effects at the non-linear level are not addressed here.

Place, publisher, year, edition, pages
2017. Vol. 34, no 10, 105005
Keyword [en]
classical theories of gravity, gauge symmetries, conformal gravity
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-143438DOI: 10.1088/1361-6382/aa69f7ISI: 000399817200002OAI: oai:DiVA.org:su-143438DiVA: diva2:1107156
Available from: 2017-06-09 Created: 2017-06-09 Last updated: 2017-06-09Bibliographically approved

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Apolo, LuisHassan, S. Fawad
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