Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization group properties of the conformal mode of a torus   The Wilsonian renormalization group properties of the conformal factor of the
metric are profoundly altered by the fact that it has a wrong-sign kinetic
term. If couplings are chosen so that the quantum field theory exists on
$\mathbb{R}^4$, it fails to exist on manifolds below a certain size, if a
certain universal shape function turns negative. We demonstrate that this is
triggered by inhomogeneity in the cases of $\mathbb{T}^4$ and
$\mathbb{T}^3\times\mathbb{R}$, including twisted versions. Varying the moduli,
we uncover a rich phenomenology.

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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess