Elasticity typically refers to a material's ability to store energy, whereas viscosity refers to a
material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is …

Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …

We analyze the “higher rank” gauge theories that capture some of the phenomenology of the
fracton order. It is shown that these theories lose gauge invariance when an arbitrarily weak …

We present a bimetric low-energy effective theory of fractional quantum Hall (FQH) states
that describes the topological properties and a gapped collective excitation, known as the …

In this work, we present observable consequences of a parity-violating odd-viscosity term in
incompressible 2+ 1D hydrodynamics. For boundary conditions depending on the velocity …

We present effective field theories for dipole symmetric topological matters that can be
described by the Chern-Simons theory. Unlike most studies using higher-rank gauge theory …

The multipartite entanglement structure for the ground states of two-dimensional (2D)
topological phases is an interesting albeit not well-understood question. Utilizing the bulk …

Hall viscosity is a nondissipative response function describing momentum transport in two-
dimensional systems with broken parity. It is quantized in the quantum Hall regime, and …

We show that certain three-dimensional Hořava-Lifshitz gravity theories can be written as
Chern-Simons gauge theories on various nonrelativistic algebras. The algebras are specific …

The index theorems relate the gauge field and metric on a manifold to the solution of the
Dirac equation on it. In the standard approach, the Dirac operator must be massless to make …