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<p>We propose a holographic realization of symmetry operators for symmetries associated to isometries in terms of non-BPS Kaluza-Klein monopoles. Their existence is supported by dualities, and their action can be inferred by consistency with well-known String Theory constructions. We use our proposal to describe the U(1) superconformal R-symmetry of the Klebanov-Witten 4d <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 1 theory dual to Type IIB String Theory on <i>AdS</i><sub>5</sub> × <i>T</i> <sup>1,1</sup>. We precisely reproduce the expectations from field theory, including the ’t Hooft self-anomaly of the R-symmetry and the mixed ’t Hooft anomaly with the baryonic symmetry. For a choice of boundary conditions, the R-symmetry becomes non-invertible and the worldvolume action for the non-BPS Kaluza-Klein monopole precisely accounts for this.</p>

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R-symmetries, anomalies and non-invertible defects from non-BPS branes

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月14日

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  • Hugo Calvo,
  • Francesco Mignosa,
  • Diego Rodriguez-Gomez

摘要

We propose a holographic realization of symmetry operators for symmetries associated to isometries in terms of non-BPS Kaluza-Klein monopoles. Their existence is supported by dualities, and their action can be inferred by consistency with well-known String Theory constructions. We use our proposal to describe the U(1) superconformal R-symmetry of the Klebanov-Witten 4d N \( \mathcal{N} \) = 1 theory dual to Type IIB String Theory on AdS5 × T 1,1. We precisely reproduce the expectations from field theory, including the ’t Hooft self-anomaly of the R-symmetry and the mixed ’t Hooft anomaly with the baryonic symmetry. For a choice of boundary conditions, the R-symmetry becomes non-invertible and the worldvolume action for the non-BPS Kaluza-Klein monopole precisely accounts for this.