On Lorentz-invariant spin-2 theories

Atsushi Naruko, Rampei Kimura, Daisuke Yamauchi

Research output: Contribution to journalArticlepeer-review


We construct Lorentz-invariant massless/massive spin-2 theories in flat spacetime. Starting from the most generic action of a rank-2 symmetric tensor field whose Lagrangian contains up to quadratic in first derivatives of a field, we investigate the possibility of new theories by using the Hamiltonian analysis. By imposing the degeneracy of the kinetic matrix and the existence of subsequent con- straints, we classify theories based on the number of degrees of freedom and constraint structures and obtain a wider class of Fierz-Pauli theory as well as massless and partially massless theories, whose scalar and/or vector degrees of freedom are absent. We also discuss the relation between our theories and known massless and massive spin-2 theories.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2018 Dec 27

ASJC Scopus subject areas

  • General

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