What comprises a global symmetry of a Quantum Field Theory (QFT) has been vastly
expanded in the past 10 years to include not only symmetries acting on higher-dimensional …

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We survey recent developments in a novel kind of generalized global symmetry, the non-
invertible symmetry, in diverse spacetime dimensions. We start with several different but …

A bstract It is widely believed that consistent theories of quantum gravity satisfy two basic
kinematic constraints: they are free from any global symmetry, and they contain a complete …

In gauge theory, it is commonly stated that time-reversal symmetry only exists at θ= 0 or π for
a 2 π-periodic θ angle. In this Letter, we point out that in both the free Maxwell theory and …

In this paper we use the AdS/CFT correspondence to refine and then establish a set of old
conjectures about symmetries in quantum gravity. We first show that any global symmetry …

A bstract A q-form global symmetry is a global symmetry for which the charged operators are
of space-time dimension q; eg Wilson lines, surface defects, etc., and the charged …

A bstract We study a 4d gauge theory U (1) N− 1⋊ SN obtained from a U (1) N− 1 theory by
gauging a 0-form symmetry S N. We show that this theory has a global continuous 2 …

We consider line defects in d-dimensional conformal field theories (CFTs). The ambient CFT
places nontrivial constraints on renormalization group (RG) flows on such line defects. We …

A bstract We discuss consequences of the breaking of conformal symmetry by a flat or
spherical extended operator. We adapt the embedding formalism to the study of correlation …