Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantization of 2D Ho\v{r}ava gravity: non-projectable case   The quantization of two-dimensional Ho\v{r}ava theory of gravity without the
projectability condition is considered. Our study of the Hamiltonian structure
of the theory shows that there are two first-class and two second-class
constraints. Then, following Dirac we quantize the theory by first requiring
that the two second-class constraints be strongly equal to zero. This is
carried out by replacing the Poisson bracket by the Dirac bracket. The two
first-class constraints give rise to the Wheeler-DeWitt equations, which yield
uniquely a plane-wave solution for the wavefunction. We also study the
classical solutions of the theory and find that the characteristics of
classical spacetimes are encoded solely in the phase of the plane-wave solution
in terms of the extrinsic curvature of the foliations $t =$Constant, where $t$
denotes the globally-defined time of the theory.

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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph