Speaker
Hajime Otsuka
Description
In this talk, we discuss non-invertible symmetries in orbifold
compactifications of higher dimensional Yang-Mills theory with
magnetic fluxes. Specifically, we present fusion algebras of
discrete isometry operators, which are invariant under the
$\mathbb{Z}_N$ orbifold twist and their representations
explicitly on zero-mode wave functions. These zero-modes may
correspond to generations of quarks and leptons in four-
dimensional low-energy effective field theory. Hence, our
finding non-invertible symmetries correspond to a kind of
flavor symmetries among quarks and leptons.
