Talk page
Title:
Geometric deformation and Berry curvature in quantum Hall states
Speaker:
Abstract:
In this talk, I will present a method for computing the topological central charge and orbital spin variance of a topological phase directly from bulk wavefunctions, as a Berry curvature produced by adiabatic variation of the spatial metric. I will show explicit results of this computation—as well as a related derivation of the Hall conductivity and Hall viscosity—for trial wavefunctions that can be represented as conformal blocks in a chiral conformal field theory (CFT). This calculation makes use of the gravitational anomaly in the CFT, as well as the hypothesis of generalized screening. Along the way, I will also show how the Hall conductivity can be obtained in an analogous way from the U(1) gauge anomaly.
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