<p>Recently, new superparticle models have been proposed in the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27392_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{N}\)</EquationSource> </InlineEquation>-extended four and five-dimensional anti-de Sitter (AdS) superspaces, <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27392_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="58" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{AdS}}^{4|4\mathcal{N}}\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27392_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="58" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{AdS}}^{5|8\mathcal{N}}\)</EquationSource> </InlineEquation>, making use of a unique quadratic deformation to the AdS supersymmetric interval. In this paper we extend these considerations to the three and two-dimensional cases, and propose new two-derivative models for superparticles propagating in these AdS superspaces.</p>

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New superparticle models in AdS superspaces

  • Nowar E. Koning,
  • Emmanouil S. N. Raptakis

摘要

Recently, new superparticle models have been proposed in the \(\mathcal{N}\) -extended four and five-dimensional anti-de Sitter (AdS) superspaces, \({\text{AdS}}^{4|4\mathcal{N}}\) and \({\text{AdS}}^{5|8\mathcal{N}}\) , making use of a unique quadratic deformation to the AdS supersymmetric interval. In this paper we extend these considerations to the three and two-dimensional cases, and propose new two-derivative models for superparticles propagating in these AdS superspaces.