Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted and Singular gravitating vortices   We introduce the notion of twisted gravitating vortex on a compact Riemann
surface. If the genus of the Riemann surface is greater than 1 and the twisting
forms have suitable signs, we prove an existence and uniqueness result for
suitable range of the coupling constant generalizing the result of
arXiv:1510.03810v2 in the non twisted setting. It is proved via solving a
continuity path deforming the coupling constant from 0 for which the system
decouples as twisted K\"ahler-Einstein metric and twisted vortices. Moreover,
specializing to a family of twisting forms smoothing delta distribution terms,
we prove the existence of singular gravitating vortices whose K\"ahler metric
has conical singularities and Hermitian metric has parabolic singularities. In
the Bogomol'nyi phase, we establish an existence result for singular
Einstein-Bogomol'nyi equations, which represents cosmic strings with
singularities.

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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin