Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Perturbative Superpotentials In String Theory   The non-perturbative superpotential can be effectively calculated in
$M$-theory compactification to three dimensions on a Calabi-Yau four-fold $X$.
For certain $X$, the superpotential is identically zero, while for other $X$, a
non-perturbative superpotential is generated. Using $F$-theory, these results
carry over to certain Type IIB and heterotic string compactifications to four
dimensions with $N=1$ supersymmetry. In the heterotic string case, the
non-perturbative superpotential can be interpreted as coming from space-time
and world-sheet instantons; in many simple cases contributions come only from
finitely many values of the instanton numbers.

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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin