TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.1.025
TI  - Aspects of categorical symmetries from branes: SymTFTs and generalized charges
PY  - 2024/07/29
UR  - https://scipost.org/SciPostPhys.17.1.025
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 1
SP  - 025
A1  - Apruzzi, Fabio
AU  - Bonetti, Federico
AU  - Gould, Dewi S. W.
AU  - Schäfer-Nameki, Sakura
AB  - Recently it has been observed that branes in geometric engineering and holography have a striking connection with generalized global symmetries. In this paper we argue that branes, in a certain topological limit, not only furnish the symmetry generators, but also encode the so-called Symmetry Topological Field Theory (or SymTFT). For a $d$-dimensional QFT, this is a $(d+1)$-dimensional topological field theory, whose topological defects encode both the symmetry generators (invertible or non-invertible) and the generalized charges. Mathematically, the topological defects form the Drinfeld center of the symmetry category of the QFT. In this paper we derive the SymTFT and the Drinfeld center topological defects directly from branes. Central to the identification of these are Hanany-Witten brane configurations, which encode both topological couplings in the SymTFT and the generalized charges under the symmetries. We exemplify the general analysis with examples of QFTs realized in geometric engineering or holography.
ER  -

@Article{10.21468/SciPostPhys.17.1.025,
	title={{Aspects of categorical symmetries from branes: SymTFTs and generalized charges}},
	author={Fabio Apruzzi and Federico Bonetti and Dewi S.W. Gould and Sakura Schäfer-Nameki},
	journal={SciPost Phys.},
	volume={17},
	pages={025},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.1.025},
	url={https://scipost.org/10.21468/SciPostPhys.17.1.025},
}