The $SL_2(\mathbb{R})$ duality and the non-invertible $U(1)$ symmetry of Maxwell theory

Autor:	Hasan, Azeem, Meynet, Shani, Migliorati, Daniele
Rok vydání:	2024
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	Recent proposals for the Symmetry Topological Field Theory (SymTFT) of Maxwell theory admit a 0-form symmetry compatible with the classical $SL_2(\mathbb{R})$ duality of electromagnetism. We describe how to realize these automorphisms of the SymTFT in terms of its operators and we detail their effects on the dynamical theory and its global variants. In the process, we show that the classical $U(1)$ symmetry, corresponding to the stabilizer of $SL_2(\mathbb{R})$, can be restored as a non-invertible one, by means of an infinite series of discrete gauging. This provides an example of the reemergence of a classical symmetry in the quantum regime, which was not broken by anomalies, but rather by the quantization of electromagnetic fluxes. However, this procedure comes at the price of introducing "continuous" condensates that trivialize all line operators. Comment: v3: 19 pages, 1 figure, references added, version submitted to JHEP
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.19218 Zobrazit plný text záznamu View this record from Arxiv