20 citations · 40 across the 6 of their papers we have counts for
6 papers
Construction of the Temperley-Lieb algebra from bond algebra: From the transverse-field Ising to the XXZ
Yukihisa Imamura
We show that the Temperley-Lieb algebra is constructed from the generators of the transverse-field Ising-type bond algebra. It is also shown that, when we take the representation o…
Grothendieck enriched categories
Yuki Imamura
In this paper, we introduce the notion of Grothendieck enriched categories for categories enriched over a sufficiently nice Grothendieck monoidal category , generalizi…
Geometric Criterion for Solvability of Lattice Spin Systems
Masahiro Ogura, Yukihisa Imamura, Naruhiko Kameyama +2
We present a simple criterion for solvability of lattice spin systems on the basis of the graph theory and the simplicial homology. The lattice systems satisfy algebras with graphi…
From coupled-wire construction of quantum Hall states to wave functions and hydrodynamics
Y. Imamura, K. Totsuka, T. H. Hansson
In this paper we use a close connection between the coupled wire construction (CWC) of Abelian quantum Hall states and the theory of composite bosons to extract the Laughlin wave f…
On the Riemann hypothesis for self-dual weight enumerators of genus three
Koji Chinen, Yuki Imamura
In this note, we give an equivalent condition for a self-dual weight enumerator of genus three to satisfy the Riemann hypothesis. We also observe the truth and falsehood of the Rie…
Bulk effective theory in coupled wire construction from generalized Wilson line
Yukihisa Imamura, Keisuke Totsuka
We reconsider the coupled wire construction, which is a useful method of obtaining two and three-dimensional topologically ordered states from an array of one-dimensional CFTs, and…