Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-field Cosmological $\alpha$-attractors with Noether Symmetry   We study Noether symmetries in two-field cosmological $\alpha$-attractors,
investigating the case when the scalar manifold is an elementary hyperbolic
surface. This encompasses and generalizes the case of the Poincare disk. We
solve the conditions for the existence of a `separated' Noether symmetry and
find the form of the scalar potential compatible with such, for any elementary
hyperbolic surface. For this class of symmetries, we find that the
$\alpha$-parameter must have a fixed value. Using those Noether symmetries, we
also obtain many exact solutions of the equations of motion of these models,
which were studied previously with numerical methods.

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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: stat