Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Standard Model in Noncommutative Geometry and Morita equivalence   We discuss some properties of the spectral triple
$(A_F,H_F,D_F,J_F,\gamma_F)$ describing the internal space in the
noncommutative geometry approach to the Standard Model, with
$A_F=\mathbb{C}\oplus\mathbb{H}\oplus M_3(\mathbb{C})$. We show that, if we
want $H_F$ to be a Morita equivalence bimodule between $A_F$ and the associated
Clifford algebra, two terms must be added to the Dirac operator; we then study
its relation with the orientability condition for a spectral triple. We also
illustrate what changes if one considers a spectral triple with a degenerate
representation, based on the complex algebra $B_F=\mathbb{C}\oplus
M_2(\mathbb{C})\oplus M_3(\mathbb{C})$.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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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: hep-th
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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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: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: econ