The torsional Chern-Simons term in a non-relativistic Schrodinger-invariant action reproduces, in form, the 1+1 Lifshitz Weyl anomaly on the boundary, though its coefficient is not fixed.
Cross-Correlated Responses of Topological Superconductors and Superfluids
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abstract
We study nontrivial responses of topological superconductors and superfluids to the temperature gradient and rotation of the system. In two-dimensional gapped systems, the Str\v{e}da formula for the electric Hall conductivity is generalized to the thermal Hall conductivity. Applying this formula to the Majorana surface states of three-dimensional topological superconductors predicts cross-correlated responses between the orbital angular momentum and thermal polarization (entropy polarization). These results can be naturally related to the gravitoelectromagnetism description of three-dimensional topological superconductors and superfluids, analogous to the topological magnetoelectric effect in ${\mathbb{Z}}_2$ topological insulators.
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A (1+1)-dimensional Lifshitz Weyl Anomaly From a Schr$\mathrm{\ddot{o}}$dinger-invariant Non-relativistic Chern-Simons Action
The torsional Chern-Simons term in a non-relativistic Schrodinger-invariant action reproduces, in form, the 1+1 Lifshitz Weyl anomaly on the boundary, though its coefficient is not fixed.