Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Josephson instantons and Josephson monopoles in a non-Abelian Josephson
  junction   Non-Abelian Josephson junction is a junction of non-Abelian color
superconductors sandwiching an insulator, or non-Abelian domain wall if
flexible, whose low-energy dynamics is described by a $U(N)$ principal chiral
model with the conventional pion mass. A non-Abelian Josephson vortex is a
non-Abelian vortex (color magnetic flux tube) residing inside the junction,
that is described as a non-Abelian sine-Gordon soliton. In this paper, we
propose Josephson instantons and Josephson monopoles, that is, Yang-Mills
instantons and monopoles inside a non-Abelian Josephson junction, respectively,
and show that they are described as $SU(N)$ Skyrmions and $U(1)^{N-1}$ vortices
in the $U(N)$ principal chiral model without and with a twisted mass term,
respectively. Instantons with a twisted boundary condition are reduced (or
T-dual) to monopoles, implying that ${\mathbb C}P^{N-1}$ lumps are T-dual to
${\mathbb C}P^{N-1}$ kinks inside a vortex. Here we find $SU(N)$ Skyrmions are
T-dual to $U(1)^{N-1}$ vortices inside a wall. Our configurations suggest a yet
another duality between ${\mathbb C}P^{N-1}$ lumps and $SU(N)$ Skyrmions as
well as that between ${\mathbb C}P^{N-1}$ kinks and $U(1)^{N-1}$ vortices,
viewed from different host solitons. They also suggest a duality between
fractional instantons and bions in the ${\mathbb C}P^{N-1}$ model and those in
the $SU(N)$ principal chiral model.

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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: eess