3 papers
hep-th2022
Correspondence of topological classification between quantum graph extra dimension and topological matter
Tomonori Inoue, Makoto Sakamoto, Masatoshi Sato +1
In this paper, we study five-dimensional Dirac fermions of which extra-dimension is compactified on quantum graphs. We find that there is a non-trivial correspondence between matri…
hep-th2021
Instantons and Berry's connections on quantum graph
Tomonori Inoue, Makoto Sakamoto, Inori Ueba
In this paper, we study non-Abelian Berry's connections in the parameter space of boundary conditions for Dirac zero modes on quantum graphs. We apply the ADHM construction, which…
hep-th2019
5d Dirac fermion on quantum graph
Yukihiro Fujimoto, Tomonori Inoue, Makoto Sakamoto +2
In this paper, we investigate a five-dimensional Dirac fermion on a quantum graph that consists of a single vertex and loops. We find that the model possesses a rich structure…