Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Potentials in N=4 superconformal mechanics   Proceeding from nonlinear realizations of (super)conformal symmetries, we
explicitly demonstrate that adding the harmonic oscillator potential to the
action of conformal mechanics does not break these symmetries but modifies the
transformation properties of the (super)fields. We also analyze the possibility
to introduce potentials in N=4 supersymmetric mechanics by coupling it with
auxiliary fermionic superfields. The new coupling we considered does not
introduce new fermionic degrees of freedom - all our additional fermions are
purely auxiliary ones. The new bosonic components have a first order kinetic
term and therefore they serve as spin degrees of freedom. The resulting system
contains, besides the potential term in the bosonic sector, a non-trivial
spin-like interaction in the fermionic sector. The superconformal mechanics we
constructed in this paper is invariant under the full $D(2,1;\alpha)$
superconformal group. This invariance is not evident and is achieved within
modified (super)conformal transformations of the superfields.

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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: q-fin