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Gravitational parity anomaly with and without boundaries M.Kurkov, D. Vassilevich

By: Kurkov, Maxim AContributor(s): Vassilevich, Dmitri VMaterial type: ArticleArticleSubject(s): Черна-Саймонса гравитация | гравитационная аномалияGenre/Form: статьи в журналах Online resources: Click here to access online In: Journal of high energy physics № 3. P. 072 (1-16)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.
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Библиогр.: 44 назв.

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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