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Gravitational parity anomaly with and without boundaries

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arxiv 1801.02049 v3 pith:5QIO7J6S submitted 2018-01-06 hep-th gr-qcmath-phmath.MP

Maxim Kurkov , Dmitri Vassilevich This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MP
keywords anomalygravitationalboundariesparityboundarywithoutanomaliescalculations
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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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Cited by 3 Pith papers

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  2. Fractional Fermion Number and Hall Conductivity of Domain Walls

    hep-th 2019-08 conditional novelty 6.0 of 10

    Fermion number on a domain wall equals -(e/4π²) times the chiral angle difference times the magnetic flux, giving Chern-Simons level -Δθ/2π.

  3. Spectral Noncommutative Geometry, Standard Model and all that

    hep-th 2019-06 unverdicted novelty 2.0 of 10

    Review of spectral noncommutative geometry applied to the Standard Model, including bosonic and fermionic actions, Euclidean vs Lorentz issues, and going beyond the SM.

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