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• W2964201013 abstract "In the first part of this paper, we work out a perturbative Lagrangian formulation of semistrict higher gauge theory, that avoids the subtleties of the relationship between Lie 2-groups and algebras by relying exclusively on the structure semistrict Lie 2-algebra $ mathfrak{v} $ and its automorphism 2-group $ mathrm{Aut}left( mathfrak{v} right) $ . Gauge transformations are defined and shown to form a strict 2-group depending on $ mathfrak{v} $ . Fields are $ mathfrak{v} $ -valued and their global behaviour is controlled by appropriate gauge transformation gluing data organized as a strict 2-groupoid. In the second part, using the BV quantization method in the AKSZ geometrical version, we write down a 3-dimensional semistrict higher BF gauge theory generalizing ordinary BF theory, carry out its gauge fixing and obtain as end result a semistrict higher topological gauge field theory of the Witten type. We also introduce a related 4-dimensional semistrict higher Chern-Simons gauge theory." @default.
• W2964201013 created "2019-07-30" @default.
• W2964201013 creator A5036795881 @default.
• W2964201013 date "2013-03-01" @default.
• W2964201013 modified "2023-09-27" @default.
• W2964201013 title "AKSZ models of semistrict higher gauge theory" @default.
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• W2964201013 doi "https://doi.org/10.1007/jhep03(2013)014" @default.
• W2964201013 hasPublicationYear "2013" @default.
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