8 problems

Odd-dimensional gauging conjecture. In $d=2n+1$ dimensions, generalized symmetries are mostly related by gauging to invertible symmetries.

Let a quantum system be in an ordered phase in which a microscopic symmetry is spontaneously broken, and let the ordered phase have emergent higher-form or non-invertible symmetrie…

A non-compact generalized symmetry is a generalized symmetry whose non-local classes and dual non-local classes both form a continuum. Freeness conjecture for non-compact generaliz…

A quantum field theory with a continuous global symmetry is considered, together with its generalized symmetries for arbitrary topologies. Current-existence conjecture. If every ge…

Consider the shallow water equations with an arbitrary bottom topography, together with their local generalized symmetries and local conservation laws. A generalized symmetry is pr…

Let the two- and three-dimensional incompressible Euler equations be understood together with their local generalized symmetries and local conservation laws. A generalized symmetry…

Let … , its generalized symmetries are exhausted, up to equivalence of generalized symmetries, by its Lie symmetries. This would show that the Lie-symmetry analysis captures all ge…

Let $\mathcal S$ be the isothermal no-slip drift flux system, let $\mathcal S_0$ be its essential subsystem, and let $\mathfrak r^3$ denote the corresponding third coordinate. The…