Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant Spinors on Homogeneous Spheres   Using the characterization of the spin representation in terms of exterior
forms, we give a complete classification of invariant spinors on the nine
homogeneous realizations of the sphere $S^n$. In each of the cases we determine
the dimension of the space of such spinors, give their explicit description,
and study the underlying related geometric structures depending on the metric.
We recover some known results in the Sasaki and 3-Sasaki cases and find several
new examples: in particular we give the first known examples of generalized
Killing spinors with four distinct eigenvalues.

23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom