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Global Structures from the Infrared

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arxiv 2204.06495 v1 pith:MZH4GJPX submitted 2022-04-13 hep-th

Global Structures from the Infrared

classification hep-th
keywords fieldchoicesdifferentglobalinfraredtheoriestheoryadmit
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory in one dimension higher, the symmetry TFT. In this paper we show that this TFT can be reconstructed from a careful analysis of the infrared Coulomb-like phases. In particular, the TFT matches between the UV and the IR. This provides a purely field theoretical counterpart of several recent results obtained via geometric engineering in various string/M/F theory setups for theories in four and five dimensions that we confirm and extend.

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Cited by 8 Pith papers

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