期刊
PHYSICAL REVIEW D
卷 91, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.91.045030
关键词
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资金
- Simons Foundation
- U.S. DOE [DE-FG02-13ER41958]
- ARO-MURI [63834-PH-MUR]
- NNSFC [11275120]
- China Scholarship Council
We study the symmetries of nonrelativistic 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 nonrelativistic 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.
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