Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A diffeomorphism anomaly in every dimension   Field-theoretic pure gravitational anomalies only exist in $4k+2$ dimensions.
However, canonical quantization of non-field-theoretic systems may give rise to
diffeomorphism anomalies in any number of dimensions. I present a simple
example, where a higher-dimensional generalization of the Virasoro algebra
arises upon quantization.

4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
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The categories of this paper are: stat
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys