14 citations
- Osaka Institute of TechnologyJP9 papers
- Tezukayama UniversityJP9 papers
- Asia Pacific Center for Theoretical PhysicsKR4 papers
- Institute for Basic ScienceKR4 papers
- Nankai UniversityCN4 papers
- Sogang UniversityKR4 papers
- Academy of Sciences Republic of UzbekistanUZ3 papers
- Chinese Academy of SciencesCN3 papers
- Kyoto UniversityJP3 papers
- Sun Yat-sen UniversityCN3 papers
- Institute of Modern PhysicsCN2 papers
- Instituto Geofísico del PerúPE2 papers
22 papers
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(…
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 Half-period Addition Formulae for Genus Two Hyperelliptic Functions and the Sp(4,) Lie Group Structure
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
In the previous study, by using the two-flows Kowalevski top, we have demonstrated that the genus two hyperelliptic functions provide the Sp(4,)/ SO(3,2) L…
Two Flows Kowalevski Top as the Full Genus Two Jacobi's Inversion Problem and Sp(4,) Lie Group Structure
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
By using the first and the second flows of the Kowalevski top, we can make the Kowalevski top into the two flows Kowalevski top, which has two time variales. Then we show that equa…
Differential Equations of Genus Four Hyperelliptic Functions
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
In order to find higher dimensional integrable models, we study differential equations of hyperelliptic functions up to genus four. For genus two, differential equations of h…