Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Domain Walls in Supersymmetric Yang-Mills Theories   We study BPS saturated domain walls in the supersymmetric SU(2) gauge theory.
For a theory with a very light adjoint scalar (mass <~ Lambda/400) we use the
perturbed N=2 Seiberg-Witten theory to calculate the actual field configuration
of the domain wall. The wall has a sandwich-like five-layer structure of three
distinct phases -- electric confinement, Coulomb and oblique confinement --
separated by two separate transition regions. For larger scalar masses, the
three-phase structure disappears and the Seiberg-Witten theory becomes
inadequate because of two major problems: First, the higher-derivative
interactions between the light fields become relevant and second, both the
magnetic monopole condensate and the dyon condensate show up in the same region
of space, a phenomenon indescribable in terms of a local field theory.
Nevertheless, we argue that the BPS saturated domain wall continues to exist in
this regime and give a qualitative description of the scalar and gaugino
condensates. Finally, we discuss the domain walls in MQCD and translate the BPS
conditions into coupled non-linear differential equations.

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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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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: supr-con
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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: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: eess