Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cosmological perturbations with inverse-volume corrections in loop
  quantum cosmology   Although the cosmological perturbations with inverse-volume corrections from
loop quantum cosmology have been studied using the anomaly-free algebra
approach in much of the literature, there still remains an important issue that
some counterterms in the perturbed constraints cannot be uniquely fixed on the
spatially flat Friedmann-Robterson-Walker background, which causes ambiguities
in the perturbation equations. In this paper, we show that this problem can be
overcome by extending the anomaly-free algebra to the spatially closed
Friedmann-Robterson-Walker background. We find that a consistent deformed
algebra can be obtained in the spatially closed case, and each counter term can
be uniquely fixed in terms of the inverse-volume correction functions; then, by
taking the large $r_o$ limit, we recover the anomaly-free Hamiltonian on the
spatially flat background. Using this Hamiltonian we obtain the gauge invariant
cosmological perturbations for scalar, vector and tensor modes in the spatially
flat case. Moreover, we also derive the quantum-corrected Mukhanov equations,
from which the scalar and tensor spectral indices with inverse-volume
corrections are given. Some key cosmological perturbation equations obtained in
this paper are different from those in previous literature.

12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: math
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The categories of this paper are: comp-gas