Corpus ID: 237635063

Cheeger bounds on spin-two fields

  title={Cheeger bounds on spin-two fields},
  author={G. Bruno De Luca and Nicol{\`o} De Ponti and Andrea Mondino and Alessandro Tomasiello},
We consider gravity compactifications whose internal space consists of small bridges connecting larger manifolds, possibly noncompact. We prove that, under rather general assumptions, this leads to a massive spin-two field with very small mass. The argument involves a recently-noticed relation to Bakry–Émery geometry, a version of the so-called Cheeger constant, and the theory of synthetic Ricci lower bounds. The latter technique allows generalizations to non-smooth spaces such as those with D… Expand

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