Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Supersymmetry on Curved Spaces in Various Dimensions   We propose methods towards a systematic determination of d dimensional curved
spaces where Euclidean field theories with rigid supersymmetry can be defined.
The analysis is carried out from a group theory as well as from a supergravity
point of view. In particular, by using appropriate gauged supergravities in
various dimensions we show that supersymmetry can be defined in conformally
flat spaces, such as non-compact hyperboloids $H^{n+1}$ and compact spheres
$S^n$ or --by turning on appropriate Wilson lines corresponding to R-symmetry
vector fields-- on $S^1 x S^n$, with n<6. By group theory arguments we show
that Euclidean field theories with rigid supersymmetry cannot be consistently
defined on round spheres $S^d$ if d>5 (despite the existence of Killing
spinors). We also show that distorted spheres and certain orbifolds are also
allowed by the group theory classification.

16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int