100 citations · 654 across the 42 of their papers we have counts for
42 papers
Generalized mKdV Equation and Genus Two Jacobi Type Hyperelliptic Differential Equation
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
We generalized the mKdV equation in order that the static equations include differential equation. As a result, a good correspondence was obtained between the KdV equati…
Non-perturbative on-shell multiplet structure of SU(N) Yang-Mills fields
Dmitriy G. Pak, Takuya Tsukioka, Pengming Zhang
Color multiplets of the gauge fields and fermions on mass shell in SU(N) Yang-Mills theory are classified according to representations of the Weyl group W(SU(N)). The multiplet str…
Weyl multiplet structure of QCD
Dmitriy G. Pak, Pengming Zhang, Takuya Tsukioka
Weyl group symmetric structure of SU(3) quantum chromodynamics (QCD) with one flavor quark is considered. It has been demonstrated that Weyl group as a finite color subgroup of SU(…
Gauss Metric on the Kummer Surface
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
On the Kummer surface, we have obtained two different Gauss metrices by parametrizing it in two ways. We have found that these Gauss metrices are not Ricci flat. The double sphere,…
A Quadratic Curve Analogue of the Taniyama-Shimura Conjecture
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
For quadratic curves over , the number of solutions, which is governed by an analogue of the Mordell-Weil group, is expressed with the Legendre symbol of a coefficient of quad…
The Lie Group Structure of Elliptic/Hyperelliptic Functions
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
We consider the generalized dual transformation for elliptic/hyperelliptic functions up to genus three. For the genus one case, from the algebraic addition formula, we deduce…