Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic Coleman-De Luccia Geometries   We present the necessary and sufficient conditions for a Euclidean scale
factor to be a solution of the Coleman-De Luccia equations for some analytic
potential $V(\phi)$, with a Lorentzian continuation describing the growth of a
bubble of lower-energy vacuum surrounded by higher-energy vacuum. We then give
a set of explicit examples that satisfy the conditions and thus are closed-form
analytic examples of Coleman-De Luccia geometries.

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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: chem-ph
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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: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nlin