A geometric framework that allows us to study momentum and energy transport in nonrelativistic systems and generalizes the classic Luttinger's formulation of thermal transport is formulated.Expand

Abstract We compute the Entanglement Entropy (EE) of a bipartition in 2D pure non-abelian U ( N ) gauge theory. We obtain a general expression for EE on an arbitrary Riemann surface. We find that due… Expand

Recent interest to the Hall viscosity in the theory of Fractional Quantum Hall effect (FQHE) and the interest to the interplay of defects and mechanical stresses with electromagnetic properties of… Expand

We describe a geometric (or gravitational) analogue of the Laughlin quasiholes in the fractional quantum Hall states. Analogously to the quasiholes these defects can be constructed by an insertion of… Expand

This work realizes the Fock–Darwin Hamiltonian for photons in a magnetic field and harmonic trap, and opens the door to exploration of the interplay of geometry and topology, and in conjunction with Rydberg electromagnetically induced transparency, enables studies of photonic fractional quantum Hall fluids and direct detection of anyons.Expand

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… Expand

It is shown that accounting for the framing anomaly of the quantum Chern-Simons theory is essential to obtain the correct gravitational linear response functions in the lowest order in gradients.Expand

We present an effective field theory approach to the Fracton phases. The approach is based the notion of a multipole algebra. It is an extension of space(-time) symmetries of a charge-conserving… Expand

A classical Calogero model in an external harmonic potential is known to be integrable for any number of particles. We consider here reductions which play a role of the 'soliton' solutions of the… Expand

It is emphasized that the very structure of Riemann-Cartan geometry, which is used to formulate the theory, encodes some of the fracton phenomenology, suggesting that the Fracton order itself is geometric in nature.Expand