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Henneaux-Teitelboim Gauge Symmetry and its Applications to Higher Gauge Theories
Version 1
: Received: 1 May 2023 / Approved: 2 May 2023 / Online: 2 May 2023 (00:53:08 CEST)
A peer-reviewed article of this Preprint also exists.
Đorđević, M.; Radenković, T.; Stipsić, P.; Vojinović, M. Henneaux–Teitelboim Gauge Symmetry and Its Applications to Higher Gauge Theories. Universe 2023, 9, 281. Đorđević, M.; Radenković, T.; Stipsić, P.; Vojinović, M. Henneaux–Teitelboim Gauge Symmetry and Its Applications to Higher Gauge Theories. Universe 2023, 9, 281.
Abstract
When discussing the gauge symmetries of any theory, the Henneaux-Teitelboim transformations are often underappreciated or even completely ignored, due to their on-shell triviality. Nevertheless, these gauge transformations play an important role in understanding the structure of the full gauge symmetry group of any theory, especially regarding the subgroup of diffeomorphisms. We give a review of the Henneaux-Teitelboim transformations and the resulting gauge group in the general case, and then discuss its role in the applications to the class of topological theories called nBF models, relevant for the constructions of higher gauge theories and quantum gravity.
Keywords
gauge symmetry; trivial gauge transformations; nBF theory; Chern-Simons theory; diffeomorphism symmetry
Subject
Physical Sciences, Particle and Field Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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