Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the fate of Lorentz symmetry in relative-locality momentum spaces   The most studied doubly-special-relativity scenarios, theories with both the
speed-of-light scale and a length/inverse-momentum scale as non-trivial
relativistic invariants, have concerned the possibility of enforcing
relativistically some nonlinear laws on momentum space. For the
"relative-locality framework" recently proposed in arXiv:1101.0931 a central
role is played by nonlinear laws on momentum space, with the guiding principle
that they should provide a characterization of the geometry of momentum space.
Building on previous doubly-special-relativity results I here identify a
criterion for establishing whether or not a given geometry of the
relative-locality momentum space is "DSR compatible", i.e. compatible with an
observer-independent formulation of theories on that momentum space. I find
that given some chosen parametrization of momentum-space geometry the criterion
takes the form of an elementary algorithm. I show that relative-locality
momentum spaces that fail my criterion definitely "break" Lorentz invariance,
i.e. theories on such momentum spaces necessarily are observer-dependent
"ether" theories. By working out a few examples I provide evidence that when
the criterion is instead satisfied one does manage to produce a relativistic
formulation. The examples I use to illustrate the applicability of my criterion
also have some intrinsic interest, including two particularly noteworthy cases
of $\kappa$-Poincar\'e-inspired momentum spaces.

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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org