Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Discrete Symmetries and Torsion Homology in F-Theory   We study the relation between discrete gauge symmetries in F-theory
compactifications and torsion homology on the associated Calabi-Yau manifold.
Focusing on the simplest example of a $\mathbb Z_2$ symmetry, we show that
there are two physically distinct ways that such a discrete gauge symmetry can
arise. First, compactifications of M-Theory on Calabi-Yau threefolds which
support a genus-one fibration with a bi-section are known to be dual to
six-dimensional F-theory vacua with a $\mathbb Z_2$ gauge symmetry. We show
that the resulting five-dimensional theories do not have a $\mathbb Z_2$
symmetry but that the latter emerges only in the F-theory decompactification
limit. Accordingly the genus-one fibred Calabi-Yau manifolds do not exhibit
discrete torsion. Associated to the bi-section fibration is a Jacobian
fibration which does support a section. Compactifying on these related but
distinct varieties does lead to a $\mathbb Z_2$ symmetry in five dimensions
and, accordingly, we find explicitly an associated discrete torsion. We
identify the expected particle and membrane system of the discrete symmetry in
terms of wrapped M2 and M5 branes and present a field-theory description of the
physics for both cases in terms of circle reductions of six-dimensional
theories. Our results and methods generalise straightforwardly to larger
discrete symmetries and to four-dimensional compactifications.

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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ