Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Horizontal and Vertical Five-Branes in Heterotic/F-Theory Duality   We consider the heterotic string on an elliptic Calabi-Yau three-fold with
five-branes wrapping curves in the base ('horizontal' curves) of the Calabi-Yau
as well as some elliptic fibers ('vertical' curves). We show that in this
generalized set-up, where the association of the heterotic side with the
$F$-theory side is changed relative to the purely vertical situation, the
number of five-branes wrapping the elliptic fibers still matches the
corresponding number of $F$-theory three-branes.

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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: q-bio
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th