期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2018)072
关键词
Anomalies in Field and String Theories; Chern-Simons Theories; Field Theories in Lower Dimensions
资金
- Sao Paulo Research Foundation (FAPESP) [2015/05120-0, 2016/03319-6]
- CNPq [401180/2014-0, 303807/2016-4]
- RFBR project [18-02-00149-A]
- Tomsk State University Competitiveness Improvement Program
In this paper we consider gravitational parity anomaly in three and four dimensions. We start with a re-computation of this anomaly on a 3D manifold without boundaries and with a critical comparison of our results to the previous calculations. Then we compute the anomaly on 4D manifolds with boundaries with local bag boundary conditions. We find, that gravitational parity anomaly is localized on the boundary and contains a gravitational Chern-Simons terms together with a term depending of the extrinsic curvature. We also discuss the main properties of the anomaly, as the conformal invariance, relations between 3D and 4D anomalies, etc.
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