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Chiral fermion on curved domain-wall

2021/11/23 by Aoki, Shoto, Fukaya, Hidenori
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.2111.11649

Abstract

We consider a massive fermion system having a curved domain-wall embedded in a square lattice. In a similar way to the conventional flat domain-wall fermion, chiral massless modes appear at the domain-wall but these modes feel "gravity" through the induced spin connections. In this work, we embed S1 and S2 domain-walls into a Euclidean space and show how the gravity is detected from the spectrum of the Dirac operator.

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