Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetric Particle in a Spacetime with Torsion and the Index
  Theorem   The supersymmetric Lagrangian compatible with the presence of torsion in the
background spacetime requires, in addition to the minimal coupling, an
interaction between the spin and the torsion of the form ${1/2}
N_{\mu\nu\lambda\rho}\psi^\mu\psi^\nu\psi^\lambda\psi^\rho$, where $N$ is the
Nieh-Yan 4-form. This gives rise to a coupling between helicity ($h$) and the
Nieh-Yan density of the form $hN$. The classical Lagrangian allows computing
the index for the Dirac operator on a four-dimensional compact manifold with
curvature and torsion using the path integral representation for the index.
This calculation provides an independent check for the recent result of the
chiral anomaly in spaces with torsion.

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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom