Gravitational parity anomaly with and without boundaries
Abstract 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 wit...
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Online Access: | http://link.springer.com/article/10.1007/JHEP03(2018)072 |
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doaj-e11e5a9ce9784bc596535941ae0dd3ae2020-11-25T00:29:19ZengSpringerOpenJournal of High Energy Physics1029-84792018-03-012018311710.1007/JHEP03(2018)072Gravitational parity anomaly with and without boundariesMaxim Kurkov0Dmitri Vassilevich1CMCC, Universidade Federal do ABCCMCC, Universidade Federal do ABCAbstract 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.http://link.springer.com/article/10.1007/JHEP03(2018)072Anomalies in Field and String TheoriesChern-Simons TheoriesField Theories in Lower Dimensions |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Maxim Kurkov Dmitri Vassilevich |
spellingShingle |
Maxim Kurkov Dmitri Vassilevich Gravitational parity anomaly with and without boundaries Journal of High Energy Physics Anomalies in Field and String Theories Chern-Simons Theories Field Theories in Lower Dimensions |
author_facet |
Maxim Kurkov Dmitri Vassilevich |
author_sort |
Maxim Kurkov |
title |
Gravitational parity anomaly with and without boundaries |
title_short |
Gravitational parity anomaly with and without boundaries |
title_full |
Gravitational parity anomaly with and without boundaries |
title_fullStr |
Gravitational parity anomaly with and without boundaries |
title_full_unstemmed |
Gravitational parity anomaly with and without boundaries |
title_sort |
gravitational parity anomaly with and without boundaries |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-03-01 |
description |
Abstract 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. |
topic |
Anomalies in Field and String Theories Chern-Simons Theories Field Theories in Lower Dimensions |
url |
http://link.springer.com/article/10.1007/JHEP03(2018)072 |
work_keys_str_mv |
AT maximkurkov gravitationalparityanomalywithandwithoutboundaries AT dmitrivassilevich gravitationalparityanomalywithandwithoutboundaries |
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1725332042762158080 |