Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quaternionic K\"ahler metrics associated to special K\"ahler manifolds
  with mutually local variations of BPS structures   We construct a quaternionic-K\"ahler manifold from a conical special K\"ahler
manifold with a certain type of mutually-local variation of BPS structures. We
give global and local explicit formulas for the quaternionic-K\"ahler metric,
and specify under which conditions it is positive-definite. Locally, the metric
is a deformation of the 1-loop corrected Ferrara-Sabharval metric obtained via
the supergravity c-map. The type of quaternionic-K\"ahler metrics we obtain are
related to work in the physics literature by S. Alexandrov and S. Banerjee,
where they discuss the hypermultiplet moduli space metric of type IIA string
theory, with mutually local D-instanton corrections.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom