Year: 2024
Type: article
Abstract: A bstract Symmetry is a powerful tool for studying dynamics in QFT: it provides selection rules, constrains RG flows, and often simplifies analysis. Currently, our understanding is that the most general form of symmetry is described by categorical symmetries which can be realized via Symmetry TQFTs or “SymTFTs”. In this paper, we show how the framework of the SymTFT, which is understood for discrete symmetries (i.e. finite categorical symmetries), can be generalized to continuous symmetries. In addition to demonstrating how U(1) global symmetries can be incorporated into the paradigm of the SymTFT, we apply our formalism to study cubic U(1) anomalies in 4 d QFTs, describe the ℚ / ℤ non-invertible chiral symmetry in 4 d theories, and conjecture the SymTFT for general continuous G (0) global symmetries.
Source: Journal of High Energy Physics
Authors: T. Daniel Brennan, Zhengdi Sun
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: U.S. Department of Energy
OpenAlex ID: W4405367586