Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A one-dimensional action for simplicial gravity in three dimensions   This article presents a derivation of the Ponzano--Regge model from a
one-dimensional spinor action. The construction starts from the first-order
Palatini formalism in three dimensions. We then introduce a simplicial
decomposition of the three-dimensional manifold and study the discretised
action in the spinorial representation of loop gravity. A one-dimensional
refinement limit along the edges of the discretisation brings us back to a
continuum formulation. The three-dimensional action turns into a line integral
over the one-skeleton of the simplicial manifold. All fields are continuous but
have support only along the one-dimensional edges. We define the path integral,
and remove the redundant integrals over the local gauge orbits through the
usual Faddeev--Popov procedure. The resulting state sum model reproduces the
Ponzano--Regge amplitudes.

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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci