Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dual multiplets in N=4 superconformal mechanics   We propose Lagrangian formulations of a three-particles translation invariant
$N=4$ superconformal mechanics based on the standard and twisted $(1,4,3)$
supermultiplets. We show that in the appropriate set of coordinates, in which
the bosonic kinetic terms for each of the two cases take conformally-flat
forms, the corresponding models produce just similar physical systems with the
flipped angular part of bosonic potential $U(x)\rightarrow 1/U(x)$. This
flipping looks so simple only being written in the "angle" variable, while in
the standard variables it looks more complicated to preserve the superconformal
symmetry. We demonstrate at both the superfield and the component level, how
familiar $N=4$ supersymmetric 3-particles models, including $3-Calogero$, ${\it
BC_2}$ and ${\it G_2}$ ones, can be constructed with twisted supermultiplets.
We also present some new explicit examples of 3-dimensional superconformal
mechanics.

0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci