73 citations · 211 across the 8 of their papers we have counts for
4 papers · 1 filter
Postmodern Fermi Liquids
Umang Mehta
We present, in this dissertation, a pedagogical review of the formalism for Fermi liquids developed in [Delacretaz et al., arXiv:220305004] that exploits an underlying algebro-geom…
Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits
Luca V. Delacretaz, Yi-Hsien Du, Umang Mehta +1
We develop a new method for bosonizing the Fermi surface based on the formalism of the coadjoint orbits. This allows one to parametrize the Fermi surface by a bosonic field that de…
Noncommutative gauge symmetry in the fractional quantum Hall effect
Yi-Hsien Du, Umang Mehta, Dam Thanh Son
We show that a system of particles on the lowest Landau level can be coupled to a probe U(1) gauge field in such a way that the theory is invariant under a noncommut…
Volume-preserving diffeomorphism as nonabelian higher-rank gauge symmetry
Yi-Hsien Du, Umang Mehta, Dung Xuan Nguyen +1
We propose nonabelian higher-rank gauge theories in 2+1D and 3+1D. The gauge group is constructed from the volume-preserving diffeomorphisms of space. We show that the intriguing p…