Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the chirality of a discrete Dirac-K\"ahler equation   We discuss a discrete analogue of the Dirac-K\"{a}hler equation in which
chiral properties of the continual counterpart are captured. We pay special
attention to a discrete Hodge star operator. To build one a combinatorial
construction of double complex is used. We describe discrete exterior calculus
operations on a double comlex and obtain the discrete Dirac-K\"{a}hler equation
using these tools. Self-dual and anti-self-dual discrete inhomogeneous forms
are presented. The chiral invariance of the massless discrete Dirac-K\"{a}hler
equation is shown. Moreover, in the massive case we prove that a discrete
Dirac-K\"{a}hler operator flips the chirality.

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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph