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<p>We find matching pairs of the line defect indices for 3d supersymmetric Abelian gauge theories as strong evidence of dualities of the BPS line operators. They lead to novel duality maps of the BPS line operators for <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27257_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>≥</mo> <mn>4</mn> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N}\ge 4 \)</EquationSource> </InlineEquation> supersymmetric circular and linear quiver gauge theories which can be realized as brane configurations in Type IIB string theory, including SQED, ADHM and ABJM theories.</p>

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Abelian dualities and line defect indices for 3d gauge theories

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月23日

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  • Hirotaka Hayashi,
  • Tomoki Nosaka,
  • Tadashi Okazaki

摘要

We find matching pairs of the line defect indices for 3d supersymmetric Abelian gauge theories as strong evidence of dualities of the BPS line operators. They lead to novel duality maps of the BPS line operators for N ≥ 4 \( \mathcal{N}\ge 4 \) supersymmetric circular and linear quiver gauge theories which can be realized as brane configurations in Type IIB string theory, including SQED, ADHM and ABJM theories.