Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reformulation of the symmetries of first-order general relativity   We report a new internal gauge symmetry of the n-dimensional Palatini action
with cosmological term (n>3) that is the generalization of three-dimensional
local translations. This symmetry is obtained through the direct application of
the converse of Noether's second theorem on the theory under consideration. We
show that diffeomorphisms can be expressed as linear combinations of it and
local Lorentz transformations with field-dependent parameters up to terms
involving the variational derivatives of the action. As a result, the new
internal symmetry together with local Lorentz transformations can be adopted as
the fundamental gauge symmetries of general relativity. Although their gauge
algebra is open in general, it allows us to recover, without resorting to the
equations of motion, the very well-known Lie algebra satisfied by translations
and Lorentz transformations in three dimensions. We also report the analog of
the new gauge symmetry for the Holst action with cosmological term, finding
that it explicitly depends on the Immirzi parameter. The same result concerning
its relation to diffeomorphisms and the open character of the gauge algebra
also hold in this case. Finally, we consider the non-minimal coupling of a
scalar field to gravity in n dimensions and establish that the new gauge
symmetry is affected by this matter field. Our results indicate that general
relativity in dimension greater than three can be thought of as a gauge theory.

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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph