Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Kaluza-Klein Cosmologies (V)   In the No-boundary Universe with $d=11$ supergravity, under the $S_n \times
S_{11-n}$ Kaluza-Klein ansatz, the only seed instanton for the universe
creation is a $S_7 \times S_4$ space. It is proven that for the Freund-Rubin,
Englert and Awada-Duff-Pope models the macroscopic universe in which we are
living must be 4- instead of 7-dimensional without appealing to the anthropic
principle.

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph