Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergent spacetime and gravitational Nieh-Yan anomaly in chiral $p+ip$
  Weyl superfluids and superconductors   Momentum transport is anomalous in chiral $p+ip$ superfluids and
superconductors in the presence of textures and superflow. Using the gradient
expansion of the semi-classical approximation, we show how gauge and Galilean
symmetries induce an emergent curved spacetime with torsion and curvature for
the quasirelativistic low-energy Majorana-Weyl quasiparticles. We explicitly
show the emergence of the spin-connection and curvature, in addition to
torsion, using the superfluid hydrodynamics. The background constitutes an
emergent quasirelativistic Riemann-Cartan spacetime for the Weyl quasiparticles
and they satisfy the conservation laws associated with local Lorentz symmetry,
restricted to the plane of uniaxial anisotropy of the superfluid (or
-conductor). Moreover, we show that the anomalous Galilean momentum
conservation is a consequence of the gravitational Nieh-Yan (NY) chiral anomaly
the Weyl fermions experience on the background geometry. Notably, the NY
anomaly coefficient features a non-universal ultraviolet cut-off scale
$\Lambda$, with canonical dimensions of momentum. Comparison of the anomaly
equation and the hydrodynamic equations suggests that the value of the cut-off
parameter $\Lambda$ is determined by the normal state Fermi liquid and
non-relativistic uniaxial symmetry of the $p$-wave superfluid or
superconductor.

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The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
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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: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: comp-gas