Framing Anomaly in the Effective Theory of Fractional Quantum Hall Effect
Abstract
We consider the geometric part of the effective action for Fractional Quantum Hall Effect (FQHE). It is shown that accounting for the framing anomaly of the quantum Chern-Simons theory is essential to the obtain correct gravitational linear response functions. In the lowest order in gradients the linear response generating functional includes Chern-Simons, Wen-Zee and gravitational Chern- Simons terms. The latter term has a contribution from the framing anomaly which fixes the value of thermal Hall conductivity and contributes to the Hall viscosity of the FQH states on a sphere. We also discuss the effects of the framing anomaly on linear responses for non-Abelian FQH states.
Keywords
Cite
@article{arxiv.1410.6812,
title = {Framing Anomaly in the Effective Theory of Fractional Quantum Hall Effect},
author = {Andrey Gromov and Gil Young Cho and Yizhi You and Alexander G. Abanov and Eduardo Fradkin},
journal= {arXiv preprint arXiv:1410.6812},
year = {2015}
}
Comments
5 pages, v3 contains the Erratum on the value of the orbital spin variance