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Nonlinear partially massless from massive gravity?

S. Deser, M. Sandora, and A. Waldron
Phys. Rev. D 87, 101501(R) – Published 6 May 2013

Abstract

We show that consistent nonlinear partially massless models cannot be obtained starting from “fg” massive gravity, with “f” the embedding de Sitter space. The obstruction, which is also the source of fg acausality, is the very same fifth constraint that removes the notorious sixth ghost excitation. Here, however, it blocks extension of the gauge invariance (appearing for mass to de Sitter cosmological constant tunings) that removed the helicity-zero mode at linear level. Separately, our methods allow us to almost complete the proof that all fg models are acausal.

  • Received 24 January 2013

DOI:https://doi.org/10.1103/PhysRevD.87.101501

© 2013 American Physical Society

Authors & Affiliations

S. Deser*

  • Lauritsen Lab, California Institute of Technology, Pasadena, California 91125, USA and Physics Department, Brandeis University, Waltham, Massachusetts 02454, USA

M. Sandora

  • Department of Physics, University of California, Davis, California 95616, USA

A. Waldron

  • Department of Mathematics, University of California, Davis, California 95616, USA

  • *deser@brandeis.edu
  • sandora@ms.physics.ucdavis.edu
  • wally@math.ucdavis.edu

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Issue

Vol. 87, Iss. 10 — 15 May 2013

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