Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin(7) Instantons and Hermitian Yang-Mills Connections for the Stenzel
  Metric   We use the large isometry group of the Stenzel asymptotically conical
Calabi-Yau metric on $T^{\star}S^{4}$ to study the relationship between the
Spin(7) instanton and Hermitian-Yang Mills (HYM) equations. We reduce both
problems to tractable ODEs and look for invariant solutions. In the abelian
case, we establish local equivalence and prove a global nonexistence result. We
analyze the nonabelian equations with structure group SO(3) and construct the
moduli space of invariant Spin(7) instantons in this setting. This includes an
explicit one parameter family of irreducible Spin(7) instantons only one of
which is HYM. We thus negatively resolve the question regarding the equivalence
of the two gauge theoretic PDEs. The HYM connections play a role in the
compactification of this moduli space, exhibiting a phenomenon that we aim to
further look into in future work.

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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex