Approximate symmetries abound in nature. If these symmetries are also spontaneously
broken, the would-be Goldstone modes acquire a small mass, or inverse correlation length …

We propose a general hydrodynamic framework for systems with spontaneously broken
approximate symmetries. The second law of thermodynamics naturally results in relaxation …

The Colloquium reviews recent progress in the effective description of strongly correlated
phases of matter with spontaneously broken translations, such as charge density waves or …

A bstract We construct a theory of hydrodynamic transport for systems with conserved dipole
moment, U (1) charge, energy, and momentum. These models have been considered in the …

High-T c cuprate strange metals are characterized by a DC resistivity that scales linearly with
T from the onset of superconductivity to the crystal melting temperature, characterized by a …

In this paper, we review recent progress on relativistic hydrodynamics in (2+ 1) dimensions
with an external magnetic field. We discuss the formalism allowing for momentum loss due …

We investigate the thermodynamics of equilibrium thermal states and their near-equilibrium
dynamics in systems with fractonic symmetries in arbitrary curved space. By explicitly …

Abstract We formulate the Schwinger-Keldysh effective field theory of hydrodynamics without
boost symmetry. This includes a spacetime covariant formulation of classical hydrodynamics …

We construct a hydrodynamic framework describing plastic deformations in electronic
crystals. The framework accounts for pinning, phase, and momentum relaxation effects due …

A bstract We perform a detailed analysis of a large class of effective holographic models with
broken translations at finite charge density and magnetic field. We exhaustively discuss the …