Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetry in 6d Dirac Action   We investigate a 6d Dirac fermion on a rectangle. It is found that the 4d
spectrum is governed by $N=2$ supersymmetric quantum mechanics. Then we
demonstrate that the supersymmetry is very useful for classifying all the
allowed boundary conditions and to expand the 6d Dirac field in Kaluza-Klein
modes. A striking feature of the model is that even though the 6d Dirac fermion
has non-vanishing bulk mass, the 4d mass spectrum can contain degenerate
massless chiral fermions, which may provide a hint to solve the problem of the
generation of quarks and leptons. It is pointed out that zero-energy solutions
are not affected by the presence of the boundaries, while the boundary
conditions work well for determining the positive-energy solutions. We also
provide a brief discussion on possible boundary conditions in the general case,
especially those on polygons.

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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg