Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Physical states of Bianchi type IX quantum cosmologies described by the
  Chern-Simons functional   A class of exact solutions of the Wheeler-DeWitt equation for diagonal
Bianchi type IX cosmologies with cosmological constant is derived in the metric
representation. This class consists of all the ``topological solutions'' which
are associated with the Bianchi type IX reduction of the Chern-Simons
functional in Ashtekar variables. The different solutions within the class
arise from the topologically inequivalent choices of the integration contours
in the transformation from the Ashtekarrepresentation to the metric
representation. We show how the saddle-points of the reduced Chern-Simons
functional generate a complete basis of such integration contours and the
associated solutions. Among the solutions we identify two, which,
semi-classically, satisfy the boundary conditions proposed by Vilenkin and by
Hartle and Hawking, respectively. In the limit of vanishing cosmological
constant our solutions reduce to a class found earlier in special fermion
sectors ofsupersymmetric Bianchi type IX models.

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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: adap-org