Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Flatness and Quantum Geometry   We construct a canonical quantization of the two dimensional theory of a
parametrized scalar field on noncompact spatial slices. The kinematics is built
upon generalized charge-network states which are labelled by smooth embedding
spacetimes, unlike the standard basis states carrying only discrete labels. The
resulting quantum geometry corresponds to a nondegenerate vacuum metric, which
allows a consistent realization of the asymptotic conditions on the canonical
fields. Although the quantum counterpart of the classical symmetry group of
conformal isometries consists only of continuous global translations, Lorentz
invariance can still be recovered in an effective sense. The quantum spacetime
as characterized by a gauge invariant state is shown to be made up of discrete
strips at the interior, and smooth at asymptotia. The analysis here is expected
to be particularly relevant for a canonical quantization of asymptotically flat
gravity based on generalized spin-network states labelled by smooth geometries.

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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: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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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: physics