Work

Unpaired Weyl fermion on an axion string in a finite lattice

Year: 2025
Type: article
Abstract: Domain wall fermions use a 2 n -dimensional spacetime defect embedded in ( 2 n + 1 )-dimensional spacetime to realize massless lattice Dirac fermions. Recent work has extended this idea to realize a single unpaired Weyl fermion in a finite lattice. Here, we realize the same using a 2 n -dimensional string defect embedded in ( 2 n + 2 )-dimensional spacetime on a finite lattice for n = 1 . This string is a lattice version of the continuum axion string described in Callan-Harvey []. Our results are obtained in a Hamiltonian formulation in Minkowski spacetime. Extending the results to Euclidean spacetime and to n > 1 is straightforward. This work has applications to lattice chiral gauge theories and axion cosmology.
Language: English
Open Access status: hybrid
OpenAlex ID: W4413635582
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Cites: 44
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Related to: 10