An invitation to higher gauge theory
In this easy introduction to higher gauge theory, we describe parallel transport for particles
and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a …
and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a …
Snowmass white paper: Generalized symmetries in quantum field theory and beyond
Symmetry plays a central role in quantum field theory. Recent developments include
symmetries that act on defects and other subsystems, and symmetries that are categorical …
symmetries that act on defects and other subsystems, and symmetries that are categorical …
Exploring 2-group global symmetries
A bstract We analyze four-dimensional quantum field theories with continuous 2-group
global symmetries. At the level of their charges, such symmetries are identical to a product of …
global symmetries. At the level of their charges, such symmetries are identical to a product of …
On 2-group global symmetries and their anomalies
A bstract In general quantum field theories (QFTs), ordinary (0-form) global symmetries and
1-form symmetries can combine into 2-group global symmetries. We describe this …
1-form symmetries can combine into 2-group global symmetries. We describe this …
Continuous generalized symmetries in three dimensions
JA Damia, R Argurio, L Tizzano - Journal of High Energy Physics, 2023 - Springer
A bstract We present a class of three-dimensional quantum field theories whose ordinary
global symmetries mix with higher-form symmetries to form a continuous 2-group. All these …
global symmetries mix with higher-form symmetries to form a continuous 2-group. All these …
2-group global symmetries and anomalies in six-dimensional quantum field theories
A bstract We examine six-dimensional quantum field theories through the lens of higher-
form global symmetries. Every Yang-Mills gauge theory in six dimensions, with field strength …
form global symmetries. Every Yang-Mills gauge theory in six dimensions, with field strength …
Higher symmetry and gapped phases of gauge theories
A Kapustin, R Thorngren - Algebra, Geometry, and Physics in the 21st …, 2017 - Springer
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 …
gauge symmetry is partially Higgsed and partially confined. The TQFT can be formulated …
Differential cohomology in a cohesive infinity-topos
U Schreiber - arXiv preprint arXiv:1310.7930, 2013 - arxiv.org
We formulate differential cohomology and Chern-Weil theory--the theory of connections on
fiber bundles and of gauge fields--abstractly in the context of a certain class of higher …
fiber bundles and of gauge fields--abstractly in the context of a certain class of higher …
Higher lattices, discrete two-dimensional holonomy and topological phases in ()D with higher gauge symmetry
A Bullivant, M Calçada, Z Kádár… - Reviews in …, 2020 - World Scientific
Higher gauge theory is a higher order version of gauge theory that makes possible the
definition of 2-dimensional holonomy along surfaces embedded in a manifold where a …
definition of 2-dimensional holonomy along surfaces embedded in a manifold where a …
Generalized symmetries and 2-groups via electromagnetic duality in
O DeWolfe, K Higginbotham - Physical Review D, 2021 - APS
We discuss how electromagnetically dualizing a 1-form to a 2-form in AdS 5 exchanges
regular and alternate boundary conditions, and thus gauges the originally global U (1) …
regular and alternate boundary conditions, and thus gauges the originally global U (1) …