The work constructs adjusted connections on non-abelian bundle gerbes classified by Saemann's adjusted non-abelian differential cohomology and provides a new coordinate-free version of Tellez-Dominguez' lifting theorem to abelian 2-gerbes.
Nonabelian Bundle Gerbes, their Differential Geometry and Gauge Theory
4 Pith papers cite this work, alongside 75 external citations. Polarity classification is still indexing.
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abstract
Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied both in a global coordinate independent formalism and in local coordinates. These are the gauge fields needed for the construction of Yang-Mills theories with 2-form gauge potential.
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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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Adjusted connections on non-abelian bundle gerbes
The work constructs adjusted connections on non-abelian bundle gerbes classified by Saemann's adjusted non-abelian differential cohomology and provides a new coordinate-free version of Tellez-Dominguez' lifting theorem to abelian 2-gerbes.
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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.