2014/07/31 by Michael Geracie, Dam Thanh Son, Chaolun Wu +1 · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #hep-th
paper · pdf · doi:10.1103/physrevd.91.045030
published as Phys. Rev. D 91, 045030 (2015) · 31 pages
arxiv created 2014/09/06 · arxiv updated 2015/03/04
We study the symmetries of non-relativistic systems with an emphasis on applications to the fractional quantum Hall effect. A source for the energy current of a Galilean system is introduced and the non-relativistic diffeomorphism invariance studied in previous work is enhanced to a full spacetime symmetry, allowing us to derive a number of Ward identities. These symmetries are smooth in the massless limit of the lowest Landau level. We develop a formalism for Newton-Cartan geometry with torsion to write these Ward identities in a covariant form. Previous results on the connection between Hall viscosity and Hall conductivity are reproduced.