Higher-form symmetries in 5d

DOI10.1007/JHEP09(2020)024zbMATH Open1454.81231arXiv2005.12296OpenAlexW3083540094MaRDI QIDQ1995072

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Publication date: 18 February 2021

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Abstract: We study higher-form symmetries in 5d quantum field theories, whose charged operators include extended operators such as Wilson line and 't Hooft operators. We outline criteria for the existence of higher-form symmetries both from a field theory point of view as well as from the geometric realization in M-theory on non-compact Calabi-Yau threefolds. A geometric criterion for determining the higher-form symmetry from the intersection data of the Calabi-Yau is provided, and we test it in a multitude of examples, including toric geometries. We further check that the higher-form symmetry is consistent with dualities and is invariant under flop transitions, which relate theories with the same UV-fixed point. We explore extensions to higher-form symmetries in other compactifications of M-theory, such as $G_2$-holonomy manifolds, which give rise to 4d $mathcalN=1$ theories.

Full work available at URL: https://arxiv.org/abs/2005.12296

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