Speaker
Naoto Kan
(Osaka University)
Description
We discuss a single domain-wall system with a nontrivial curved background by considering a massive fermion on a 3D square lattice, where the domain-wall is a 2D sphere. In the presence of a topologically nontrivial U(1) link gauge field, we observe the emergence of a zero mode with opposite chirality localized at the center where the gauge field is singular. This results in the low-energy effective theory becoming vectorlike rather than chiral. We also discuss how to circumvent this obstacle in formulating lattice chiral gauge theory in the single domain-wall fermion system.
Primary author
Naoto Kan
(Osaka University)
Co-authors
Hidenori Fukaya
(Osaka Univ.)
Shoto Aoki
(The University of Tokyo)