Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instantons on Sasakian 7-manifolds   We study a natural contact instanton (CI) equation on gauge fields over
7-dimensional Sasakian manifolds, which is closely related both to the
transverse Hermitian Yang-Mills (tHYM) condition and the G_2-instanton
equation. We obtain, by Fredholm theory, a finite-dimensional local model for
the moduli space of irreducible solutions. We derive cohomological conditions
for smoothness, and we express its dimension in terms of the index of a
transverse elliptic operator. Finally we show that the moduli space of selfdual
contact instantons (ASDI) is K\"ahler, in the Sasakian case. As an instance of
concrete interest, we specialise to transversely holomorphic Sasakian bundles
over contact Calabi-Yau 7-manifolds, and we show that, in this context, the
notions of contact instanton, integrable G_2-instanton and HYM connection
coincide.

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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: math-ph