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Global Anomalies in Canonical Gravity

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arxiv hep-th/9709170 v2 pith:I5XOPTS6 submitted 1997-09-23 hep-th gr-qc

Sumati Surya , Sachindeo Vaidya This is my paper · ORCID
classification hep-thgr-qc
keywords anomaliesdiffeomorphismgravitycanonicalchiralcoupledglobalgroup
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In this note we study the structure of diffeomorphism anomalies in 3+1 canonical gravity coupled to a chiral massless fermion. We find that when the spatial manifold is S^3 or a Lens space L(p,q), the first homotopy group of the related diffeomorphism group can be nontrivial and hence the question of global anomalies becomes relevant. Here we show that for gravity coupled to SU(2) chiral fermions, assuming the strong form of the Hatcher conjecture, SU(2)-induced diffeomorphism anomalies do not occur whenever the spatial manifold is S^3 or a Lens space.

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Cited by 1 Pith paper

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  1. Quantum Geometric Phases as a New Window on Gravitational Waves

    hep-th 2025-08 reject novelty 4.0 of 10

    A claimed new quantum geometric phase induced by low-frequency gravitational waves in an optomechanical mirror is derived, but the derivation contains algebraic inconsistencies that invalidate the predicted detectability.

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