Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete Symmetry, Non-Commutative Geometry and Gravity   We describe the geomety of a set of scalar fields coupled to gravity. We
consider the formalism of a differential Z_2-graded algebra of $2\times 2$
matrices whose elements are differential forms on space-time. The connection
and the vierbeins are extended to incorporate additional scalar and vector
fields. The resulting action describes two universes coupled in a non-minimal
way to a set of scalar fields. This picture is slightly different from the
description of general relativity in the framework of non-commutative geomety.

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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs