1-form symmetry versus large N QCD

Cherman, Aleksey; Jacobson, Theodore; Neuzil, Maria

doi:10.48550/arxiv.2209.00027

Cited by 1 publication

(1 citation statement)

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“…We find that when the SL(2, ℤ) bundle of the F-theory model is non-trivial, these models generically have a non-invertible symmetry simply because the fusion algebra for the generalized symmetry operators contains multiple summands. This is quite analogous to what has been observed in the context of various field theoretic constructions [14,38,43,44,55,56,62,64,65,74,[80][81][82]84,85,87,96,98,99,102,128,[131][132][133][134][135][136][137][138][139][140][141][142][143] as well as some recent holographic models. [100,101] We emphasize, however, that the construction we present can be applied to essentially any QFT which can be engineered via a string / M-/ F-theory compactification.…”

Section: Doi: 101002/prop202200180supporting

confidence: 81%

The Branes Behind Generalized Symmetry Operators

Heckman

Hübner

Torres

et al. 2022

Fortschritte der Physik

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The modern approach to m-form global symmetries in a d-dimensional quantum field theory (QFT) entails specifying dimension d − m − 1 topological generalized symmetry operators which non-trivially link with m-dimensional defect operators. In QFTs engineered via string constructions on a non-compact geometry X, these defects descend from branes wrapped on non-compact cycles which extend from a localized source / singularity to the boundary 𝝏X. The generalized symmetry operators which link with these defects arise from magnetic dual branes wrapped on cycles in 𝝏X. This provides a systematic way to read off various properties of such topological operators, including their worldvolume topological field theories, and the resulting fusion rules. We illustrate these general features in the context of 6D superconformal field theories, where we use the F-theory realization of these theories to read off the worldvolume theory on the generalized symmetry operators. Defects of dimension 3 which are charged under a suitable 3-form symmetry detect a non-invertible fusion rule for these operators. We also sketch how similar considerations hold for related systems.

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