<p>We revisit the construction of the duality group for <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26543_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{N}\)</EquationSource> </InlineEquation> = 2 <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26543_Article_IEq2.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\({\widehat{A}}_{n}\)</EquationSource> </InlineEquation>-shaped quivers SCFTs and generalize it to the previously unexplored case of <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26543_Article_IEq3.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\({\widehat{D}}_{n}\)</EquationSource> </InlineEquation>-shaped quivers. We then provide a systematic description of non-invertible duality symmetries in both classes. Furthermore, we characterize the <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26543_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{N}\)</EquationSource> </InlineEquation> = 1 mass deformations of these theories that preserve such symmetries, thereby identifying a large class of <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26543_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{N}\)</EquationSource> </InlineEquation> = 1 SCFTs with non-invertible duality symmetries inherited from their parent <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26543_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{N}\)</EquationSource> </InlineEquation> = 2 theories.</p>

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Inherited non-invertible duality symmetries in quiver SCFTs

  • Riccardo Argurio,
  • Andrés Collinucci,
  • Salvo Mancani,
  • Shani Meynet,
  • Louan Mol,
  • Valdo Tatitscheff

摘要

We revisit the construction of the duality group for \(\mathcal{N}\) = 2 \({\widehat{A}}_{n}\) -shaped quivers SCFTs and generalize it to the previously unexplored case of \({\widehat{D}}_{n}\) -shaped quivers. We then provide a systematic description of non-invertible duality symmetries in both classes. Furthermore, we characterize the \(\mathcal{N}\) = 1 mass deformations of these theories that preserve such symmetries, thereby identifying a large class of \(\mathcal{N}\) = 1 SCFTs with non-invertible duality symmetries inherited from their parent \(\mathcal{N}\) = 2 theories.