5 citations · 7 across the 6 of their papers we have counts for
3 papers · 1 filter
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…
A lattice formulation of the Atiyah-Patodi-Singer index
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki +4
Atiyah-Singer index theorem on a lattice without boundary is well understood owing to the seminal work by Hasenfratz et al. But its extension to the system with boundary (the so-ca…
Atiyah-Patodi-Singer index on a lattice
Hidenori Fukaya, Naoki Kawai, Yoshiyuki Matsuki +4
We propose a non-perturbative formulation of the Atiyah-Patodi-Singer(APS) index in lattice gauge theory, in which the index is given by the invariant of the domain-wall Dirac…