期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2020)024
关键词
Global Symmetries; Supersymmetric Gauge Theory; Conformal Field Models in String Theory; M-Theory
资金
- Simons Foundation [488629]
- Simons Collaboration on Special Holonomy in Geometry, Analysis and Physics
- ERC [682608]
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 N = 1 theories.
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