Generalized Symmetries in Condensed Matter | Annual Reviews Menu Publications AZ Journal
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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 …

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 …

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 …

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 …

We examine the interplay of symmetry and topological order in 2+ 1-dimensional topological
quantum phases of matter. We present a precise definition of the topological symmetry …

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 …

We study anomalies of non-invertible duality symmetries in both 2d and 4d, employing the
tool of the Symmetry TFT. In the 2d case we rephrase the known obstruction theory for the …

We present a framework to systematically investigate higher categorical symmetries in two-
dimensional spin systems. Though exotic, such generalised symmetries have been shown …

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 …