Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral action for scalar perturbations of Dirac operators   We investigate the leading terms of the spectral action for odd-dimensional
Riemannian spin manifolds with the Dirac operator perturbed by a scalar
function. We calculate first two Gilkey-de Witt coefficients and make explicit
calculations for the case of $n$-spheres with a completely symmetric Dirac. In
the special case of dimension 3, when such perturbation corresponds to the
completely antisymmetric torsion we carry out the noncommutative calculation
following Chamseddine and Connes and study the case of $SU_q(2)$.

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The categories of this paper are: econ
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The categories of this paper are: physics
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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: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat