48 citations · 135 across the 22 of their papers we have counts for
6 papers · 1 filter
Computation of the index on orbifold from the Atiyah-Segal-Singer fixed point theorem
Shoto Aoki, Maki Takeuchi
We investigate the independent chiral zero modes on the orbifolds from the Atiyah-Segal-Singer fixed point theorem. The required information for this calculation includes the fixed…
The index of lattice Dirac operators and -theory
Shoto Aoki, Hidenori Fukaya, Mikio Furuta +3
We mathematically show an equality between the index of a Dirac operator on a flat continuum torus and the invariant of a lattice Dirac operator known as the Wilson Dirac opera…
Study of Curved Domain-wall Fermions on a Lattice
Shoto Aoki
In this thesis, we consider fermion systems on square lattice spaces with a curved domain-wall mass term. In a similar way to the flat case, we find massless and chiral states loca…
A lattice regularization of Weyl fermions in a gravitational background
Shoto Aoki, Hidenori Fukaya, Naoto Kan
We report on a lattice fermion formulation with a curved domain-wall mass term to nonperturbatively describe fermions in a gravitational background. In our previous work in 2022, w…
A lattice formulation of Weyl fermions on a single curved surface
Shoto Aoki, Hidenori Fukaya, Naoto Kan
In the standard lattice domain-wall fermion formulation, one needs two flat domain-walls where both of the left- and right-handed massless modes appear. In this work we investigate…
A Microscopic study of Magnetic monopoles in Topological Insulators
Shoto Aoki, Hidenori Fukaya, Naoto Kan +2
In this article, we analyze a magnetic monopole in topological insulators. The monopole obtain a fractional electric charge because of the Witten effect. We consider this system wi…