Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transverse Fierz-Pauli symmetry   We consider some flat space theories for spin 2 gravitons, with less
invariance than full diffeomorphisms. For the massless case, classical
stability and absence of ghosts require invariance under transverse
diffeomorphisms (TDiff). Generic TDiff invariant theories contain a propagating
scalar, which disappears if the symmetry is enhanced in one of two ways. One
possibility is to consider full diffeomorphisms (Diff). The other (which we
denote WTDiff) adds a Weyl symmetry, by which the Lagrangian becomes
independent of the trace. The first possibility corresponds to General
Relativity, whereas the second corresponds to "unimodular" gravity (in a
certain gauge). Phenomenologically, both options are equally acceptable. For
massive gravitons, the situation is more restrictive. Up to field
redefinitions, classical stability and absence of ghosts lead directly to the
standard Fierz-Pauli Lagrangian. In this sense, the WTDiff theory is more rigid
against deformations than linearized GR, since a mass term cannot be added
without provoking the appearance of ghosts.

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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat