Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical Wick rotations in 3-dimensional gravity   We develop a ``canonical Wick rotation-rescaling theory in 3-dimensional
gravity''. This includes: (a) A simultaneous classification that shows how
generic maximal globally hyperbolic spacetimes of constant curvature, which
admit a complete Cauchy surface (in particular a compact one), as well as
complex projective structures on arbitrary surfaces, are all encoded by pairs
(H,L), H being a ``straight convex sets'' in the hyperbolic plane, and L a
``measured geodesic laminations'' suitably defined on H. (b) Canonical
geometric correlations: spacetimes of different curvature, that share a same
encoding pair (H,L), are related to each other by ``canonical rescaling''; they
can be transformed by ``canonical Wick rotations'' in hyperbolic 3-manifolds,
that carry asymptotically the corresponding projective structures. Both Wick
rotations and rescalings act along the "canonical cosmological time" and have
``universal rescaling functions''. These correlations are functorial with
respect to isomorphisms of the respective geometric categories. We analyze the
behaviour along a ray of measured laminations, (broken) T-symmetry by
spacetimes of negative curvature, the relationship with ``earthquake theory'',
beyond the case of compact Cauchy surface. WR-rescaling does apply on the
``ends'' of geometrically finite hyperbolic 3-manifolds, that hence realize
concrete interactions of their globally hyperbolic ``ending spacetimes'' of
constant curvature. It also provides further "classical amplitudes" of these
interactions, beyond the volume of the hyperbolic convex cores.

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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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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: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom