Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal Surfaces and Weak Gravity   We show that the Weak Gravity Conjecture (WGC) implies a nontrivial upper
bound on the volumes of the minimal-volume cycles in certain homology classes
that admit no calibrated representatives. In compactification of type IIB
string theory on an orientifold $X$ of a Calabi-Yau threefold, we consider a
homology class $[\Sigma] \in H_4(X,\mathbb{Z})$ represented by a union
$\Sigma_{\cup}$ of holomorphic and antiholomorphic cycles. The instanton form
of the WGC applied to the axion charge $[\Sigma]$ implies an upper bound on the
action of a non-BPS Euclidean D3-brane wrapping the minimal-volume
representative $\Sigma_{\mathrm{min}}$ of $[\Sigma]$. We give an explicit
example of an orientifold $X$ of a hypersurface in a toric variety, and a
hyperplane $\mathcal{H} \subset H_4(X,\mathbb{Z})$, such that for any $[\Sigma]
\in H$ that satisfies the WGC, the minimal volume obeys
$\mathrm{Vol}(\Sigma_{\mathrm{min}}) \ll \mathrm{Vol}(\Sigma_{\cup})$: the
holomorphic and antiholomorphic components recombine to form a much smaller
cycle. In particular, the sub-Lattice WGC applied to $X$ implies large
recombination, no matter how sparse the sublattice. Non-BPS instantons wrapping
$\Sigma_{\mathrm{min}}$ are then more important than would be predicted from a
study of BPS instantons wrapping the separate components of $\Sigma_{\cup}$.
Our analysis hinges on a novel computation of effective divisors in $X$ that
are not inherited from effective divisors of the toric variety.

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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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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: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga