The five-dimensional topological axion electrodynamics is shown to possess a 3-crossed module structure through modified Stueckelberg couplings required for background gauge invariance.
Differential Geometry of Gerbes
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abstract
We define in a global manner the notion of a connective structure for a gerbe on a space X. When the gerbe is endowed with trivializing data with respect to an open cover of X, we describe this connective structure in two separate ways, which extend from abelian to general gerbes the corresponding descriptions due to J.- L. Brylinski and N. Hitchin. We give a global definition of the 3-curvature of this connective structure as a 3-form on X with values in the Lie stack of the gauge stack of the gerbe. We also study this notion locally in terms of more traditional Lie algebra-valued 3-forms. The Bianchi identity, which the curvature of a connection on a principal bundle satisfies, is replaced here by a more elaborate equation.
verdicts
UNVERDICTED 4representative citing papers
Formulates 2-connections and gauge transformations for principal 2-bundles using an operational framework based on crossed modules and derived Lie groups.
Field theories with ℤ_N p-form symmetry generically admit a Coulomb phase where the infrared theory is Abelian p-form electrodynamics, illustrated via continuum and lattice examples.
The paper introduces a matrix toy model that inherits p-form gauge symmetry from the functional space of p-brane configurations via symmetric trace after replacing the infinite-dimensional space with finite matrices.
citing papers explorer
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3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics
The five-dimensional topological axion electrodynamics is shown to possess a 3-crossed module structure through modified Stueckelberg couplings required for background gauge invariance.
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Operational total space theory of principal 2-bundles II: 2-connections and 1- and 2--gauge transformations
Formulates 2-connections and gauge transformations for principal 2-bundles using an operational framework based on crossed modules and derived Lie groups.
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Discrete $p$-Form Symmetry and Higher Coulomb Phases
Field theories with ℤ_N p-form symmetry generically admit a Coulomb phase where the infrared theory is Abelian p-form electrodynamics, illustrated via continuum and lattice examples.
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A toy model for $p$-form gauge symmetry
The paper introduces a matrix toy model that inherits p-form gauge symmetry from the functional space of p-brane configurations via symmetric trace after replacing the infinite-dimensional space with finite matrices.