Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat kernel coefficients on the sphere in any dimension   We derive all heat kernel coefficients for Laplacians acting on scalars,
vectors, and tensors on fully symmetric spaces, in any dimension. Final
expressions are easy to evaluate and implement, and confirmed independently
using spectral sums and the Euler-Maclaurin formula. We also obtain the Green's
function for Laplacians acting on transverse traceless tensors in any
dimension, and new integral representations for heat kernels using known
eigenvalue spectra of Laplacians. Applications to quantum gravity and the
functional renormalisation group, and other, are indicated.

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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat