Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phases, Flops and F-theory: SU(5) Gauge Theories   We consider F-theory and M-theory compactifications on singular Calabi-Yau
fourfolds with an SU(5) singularity. On the M-theory side this realizes
three-dimensional N=2 supersymmetric gauge theories with matter, and
compactification on a resolution of the fourfold corresponds to passing to the
Coulomb branch of the gauge theory. The classical phase structure of these
theories has a simple characterization in terms of subwedges of the fundamental
Weyl chamber of the gauge group. This phase structure has a counterpart in the
network of small resolutions of the Calabi-Yau fourfold. We determine the
geometric realization of each phase, which crucially depends on the fiber
structure in codimension 2 and 3, including the network structure, which is
realized in terms of flop transitions. This results in a set of small
resolutions, which do not have a standard algebraic or toric realization, but
are obtained by flops along codimension 2 (matter) loci.

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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics