Left-Right Asymmetric Holographic RG Flow with Gravitational Chern-Simons Term
Abstract
We consider the holographic renormalization group (RG) flow in three dimensional gravity with the gravitational Chern-Simons term coupled to some scalar fields. We apply the canonical approach to this higher derivative case and employ the Hamilton-Jacobi formalism to analyze the flow equations of two dimensional field theory. Especially we obtain flow equations of Weyl and gravitational anomalies, and derive -functions for left and right moving modes. Both of them are monotonically non-increasing along the flow, and the difference between them is determined by the coefficient of the gravitational Chern-Simons term. This is completely consistent with the Zamolodchikov's -theorem for parity-violating two-dimensional quantum field theories.
Keywords
Cite
@article{arxiv.0906.1255,
title = {Left-Right Asymmetric Holographic RG Flow with Gravitational Chern-Simons Term},
author = {Kyosuke Hotta and Yoshifumi Hyakutake and Takahiro Kubota and Takahiro Nishinaka and Hiroaki Tanida},
journal= {arXiv preprint arXiv:0906.1255},
year = {2014}
}
Comments
14 pages, no figure, a few references added