Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry and Physics of Sp(3)/Sp(1)^3   The action of $Sp(3)$ on a vector space $V_3\in \mathbb H^3$ is analyzed. The
transitive action of the group is conveyed by the flag manifold (coset space)
$Sp(3)/Sp(1)^3\sim G/H$, a Wallach space. The curvature two-forms are shown to
mediate pair-wise interactions between the components of the $\mathbb H^3$
vector space. The root space of the flag manifold is shown to be isomorphic to
that of $SU(3)$, suggesting similarities between the representations of the
flag manifold and those of $SU(3)$. The passage from $SU(3)$ to $Sp(3)$ and the
interpretation given here encompasses the spin of the fermionic components of
$V_3$. Composite fermions are representable as linear combinations of product
states of the eigenvectors of $G/H$.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys