Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing SU(N) fractional instantons   We study self-dual SU(N) gauge field configurations on the 4 torus with
twisted boundary conditions, known as fractional instantons. Focusing on the
minimum non-zero action case, we generalize the constant field strength
solutions discovered by `t Hooft and valid for certain geometries. For the
general case, we construct the vector potential and field strength in a power
series expansion in a deformation parameter of the metric. The next to leading
term is explicitly computed. The methodology is an extension of that used by
the author for SU(2) fractional instantons and for vortices in two-dimensional
Abelian Higgs models. Obviously, these solutions can also be seen as self-dual
configurations in $\mathbb{R}^4$ having a crystal structure, where each node of
the crystal carries a topological charge of $1/N$.

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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
1
The categories of this paper are: cs