Higher Symmetry and Gapped Phases of Gauge Theories
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Publication:4608834
DOI10.1007/978-3-319-59939-7_5zbMATH Open1385.81034arXiv1309.4721OpenAlexW2158891124MaRDI QIDQ4608834
Author name not available (Why is that?)
Publication date: 28 March 2018
Published in: (Search for Journal in Brave)
Abstract: We study topological field theory describing gapped phases of gauge theories where the gauge symmetry is partially Higgsed and partially confined. The TQFT can be formulated both in the continuum and on the lattice and generalizes Dijkgraaf-Witten theory by replacing a finite group by a finite 2-group. The basic field in this TQFT is a 2-connection on a principal 2-bundle. We classify topological actions for such theories as well as loop and surface observables. When the topological action is trivial, the TQFT is related to a Dijkgraaf-Witten theory by electric-magnetic duality, but in general it is distinct. We propose the existence of new phases of matter protected by higher symmetry.
Full work available at URL: https://arxiv.org/abs/1309.4721
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