Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of Cohomogeneity One Strings   We define the cohomogeneity one string, string with continuous symmetries, as
its world surface is tangent to a Killing vector field of a target space. We
classify the Killing vector fields by an equivalence relation using isometries
of the target space. We find that the equivalence classes of Killing vectors in
Minkowski spacetime are partitioned into seven families. It is clarified that
there exist seven types of strings with spacelike symmetries and four types of
strings with timelike symmetries, stationary strings.

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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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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: math
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg