Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SL(2,C) Chern-Simons Theory, Flat Connections, and Four-dimensional
  Quantum Geometry   A correspondence between three-dimensional flat connections and constant
curvature four-dimensional simplices is used to give a novel quantization of
geometry via complex SL(2,C) Chern-Simons theory. The resulting quantum
geometrical states are hence represented by the 3d blocks of analytically
continued Chern-Simons theory. In the semiclassical limit of this quantization
the three-dimensional Chern-Simons action, remarkably, becomes the discrete
Einstein-Hilbert action of a 4-simplex, featuring the appropriate boundary
terms as well as the essential cosmological term proportional to the simplex's
curved 4-volume. Both signs of the curvature and associated cosmological
constant are present in the class of flat connections that give rise to this
correspondence. We provide a Wilson graph operator that picks out this class of
connections. We discuss how to promote these results to a model of Lorentzian
covariant quantum gravity encompassing both signs of the cosmological constant.
This paper presents the details for the results reported in reference [1]
(arXiv:1509.00458).

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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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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: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat