Kazuya Murakami

collaborators

3 papers

math.AP2026

Uniqueness of Axisymmetric Vortices in the Magnetic Ginzburg-Landau Equations

Kazuya Murakami

We study vortex solutions of the magnetic Ginzburg-Landau model (or the Abelian-Higgs model). We establish uniqueness of axisymmetric vortex solutions for every winding number $n\g…

quant-ph2026

Testing graph isomorphism using simple quantum circuits

Samuel Beasley, Ashley Montanaro

The graph isomorphism problem asks whether two graphs are equivalent up to a permutation of their vertices. Its precise computational complexity remains unresolved, and it is still…

hep-th2026

Non-Abelian $A_{4}$ vortices in $S O (3)$ gauge theory and non-invertible symmetries

Yoshihiko Abe, Tetsutaro Higaki, Kazuya Murakami +2

We construct finite-tension non-Abelian vortex solutions in a renormalizable $(3 + 1)$ -dimensional $S O (3)$ gauge theory Higgsed to the tetrahedral group $A_{4}$ by a Higgs field in the…

Uniqueness of Axisymmetric Vortices in the Magnetic Ginzburg-Landau Equations

Testing graph isomorphism using simple quantum circuits

Non-Abelian A4​ vortices in SO(3) gauge theory and non-invertible symmetries

Non-Abelian $A_{4}$ vortices in $S O (3)$ gauge theory and non-invertible symmetries