Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Harmonic superpotentials and symmetries in gauge theories with eight
  supercharges   Models of interactions of D-dimensional hypermultiplets and supersymmetric
gauge multiplets with $\mathcal{N}=8$ supercharges $(D{\leq} 6)$ can be
formulated in the framework of harmonic superspaces. The effective Coulomb
low-energy action for D=5 includes the free and Chern-Simons terms. We consider
also the non-Abelian superfield D=5 Chern-Simons action. The biharmonic
$D=3,\mathcal{N}=8$ superspace is introduced for a description of l and r
supermultiplets and the mirror symmetry. The D=2,(4,4) gauge theory and
hypermultiplet interactions are considered in the triharmonic superspace.
Constraints for $D{=}1,\mathcal{N}{=}8$ supermultiplets are solved with the
help of the $SU(2){\times}Spin(5)$ harmonics. Effective gauge actions in the
full $D{\leq}3,\mathcal{N}{=}8$ superspaces contain constrained (harmonic)
superpotentials satisfying the (6-D) Laplace equations for the gauge group U(1)
or corresponding (6-D)p-dimensional equations for the gauge groups $[U(1)]^p$.
Generalized harmonic representations of superpotentials connect equivalent
superfield structures of these theories in the full and analytic superspaces.
The harmonic approach simplifies the proofs of non-renormalization theorems.

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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an