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M5 branes on $\mathbb{R}^{1,1} \times$Taub-NUT

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arxiv 2206.11440 v1 pith:HIMNVHAT submitted 2022-06-23 hep-th

classification hep-th
keywords branessupersymmetrictheoryfibergaugemathbbsubmanifoldtaub-nut
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abstract

We study M5 branes on $\mathbb{R}^{1,1} \times$Taub-NUT that we view as a singular fibration. Reducing the M5 branes along the fiber gives 5d SYM. Due to the singularity, this 5d theory has a gauge anomaly and it is not supersymmetric. To cure these problems we add a supersymmetric gauged chiral WZW theory on the 2d submanifold where the circle fiber vanishes. In addition we add a mass term for the five scalar fields located on this submanifold. With all this, we obtain a fully supersymmetric and gauge invariant theory.

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Cited by 1 Pith paper

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  1. Kac-Moody algebras from M5-giants

    hep-th 2025-08 conditional novelty 6.0 of 10

    The single-sum giant graviton expansion of ADHM Higgs indices is proposed to encode, in two fugacity limits, the vacuum characters of the affine Kac-Moody algebras \ hat su(l)_1^{\ times m} and \ hat su(l)_m.

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