Gravitational parity anomaly with and without boundaries

Autor:	Kurkov, Maxim, Vassilevich, Dmitri
Rok vydání:	2018
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics
Zdroj:	JHEP 1803 (2018) 072
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP03(2018)072
Popis:	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. Comment: 16 pages, final version, accepted for publication in JHEP
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1801.02049 Zobrazit plný text záznamu View this record from Arxiv