Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exotic matter on singular divisors in F-theory   We analyze exotic matter representations that arise on singular seven-brane
configurations in F-theory. We develop a general framework for analyzing such
representations, and work out explicit descriptions for models with matter in
the 2-index and 3-index symmetric representations of SU($N$) and SU(2)
respectively, associated with double and triple point singularities in the
seven-brane locus. These matter representations are associated with Weierstrass
models whose discriminants vanish to high order thanks to nontrivial
cancellations possible only in the presence of a non-UFD algebraic structure.
This structure can be described using the normalization of the ring of
intrinsic local functions on a singular divisor. We consider the connection
between geometric constraints on singular curves and corresponding constraints
on the low-energy spectrum of 6D theories, identifying some new examples of
apparent "swampland" theories that cannot be realized in F-theory but have no
apparent low-energy inconsistency.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat